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Finding the Fourth Proportional to 472,961.80, 709,442.70 and 429,416.20

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Solution

The fourth proportional to 472,961.80, 709,442.70 and 429,416.20 is: 644,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,961.80 : 709,442.70 = 429,416.20 : x
  2. Step 2: Convert to fraction form
    472,961.80/709,442.70 = 429,416.20/x
  3. Step 3: Cross multiply
    472,961.80x = 709,442.70 × 429,416.20
  4. Step 4: Simplify right side
    472,961.80x = 304,646,188,351.74
  5. Step 5: Solve for x
    x = 304,646,188,351.74/472,961.80
  6. Step 6: Final answer
    x = 644,124.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.