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Finding the Fourth Proportional to 472,306.20, 709,841.70 and 411,480.60

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Solution

The fourth proportional to 472,306.20, 709,841.70 and 411,480.60 is: 618,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,306.20 : 709,841.70 = 411,480.60 : x
  2. Step 2: Convert to fraction form
    472,306.20/709,841.70 = 411,480.60/x
  3. Step 3: Cross multiply
    472,306.20x = 709,841.70 × 411,480.60
  4. Step 4: Simplify right side
    472,306.20x = 292,086,088,621.02
  5. Step 5: Solve for x
    x = 292,086,088,621.02/472,306.20
  6. Step 6: Final answer
    x = 618,425.27

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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.