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Finding the Fourth Proportional to 510,010.80, 765,016.20 and 307,057.20

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Solution

The fourth proportional to 510,010.80, 765,016.20 and 307,057.20 is: 460,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,010.80 : 765,016.20 = 307,057.20 : x
  2. Step 2: Convert to fraction form
    510,010.80/765,016.20 = 307,057.20/x
  3. Step 3: Cross multiply
    510,010.80x = 765,016.20 × 307,057.20
  4. Step 4: Simplify right side
    510,010.80x = 234,903,732,326.64
  5. Step 5: Solve for x
    x = 234,903,732,326.64/510,010.80
  6. Step 6: Final answer
    x = 460,585.80

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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.