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Finding the Fourth Proportional to 510,906.30, 766,705.05 and 286,266.30

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Solution

The fourth proportional to 510,906.30, 766,705.05 and 286,266.30 is: 429,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,906.30 : 766,705.05 = 286,266.30 : x
  2. Step 2: Convert to fraction form
    510,906.30/766,705.05 = 286,266.30/x
  3. Step 3: Cross multiply
    510,906.30x = 766,705.05 × 286,266.30
  4. Step 4: Simplify right side
    510,906.30x = 219,481,817,854.82
  5. Step 5: Solve for x
    x = 219,481,817,854.82/510,906.30
  6. Step 6: Final answer
    x = 429,593.09

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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.