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Finding the Fourth Proportional to 520,089.80, 780,134.70 and 429,888.20

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Solution

The fourth proportional to 520,089.80, 780,134.70 and 429,888.20 is: 644,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,089.80 : 780,134.70 = 429,888.20 : x
  2. Step 2: Convert to fraction form
    520,089.80/780,134.70 = 429,888.20/x
  3. Step 3: Cross multiply
    520,089.80x = 780,134.70 × 429,888.20
  4. Step 4: Simplify right side
    520,089.80x = 335,370,701,940.54
  5. Step 5: Solve for x
    x = 335,370,701,940.54/520,089.80
  6. Step 6: Final answer
    x = 644,832.30

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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.