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Finding the Fourth Proportional to 502,829.66, 693,805.68 and 282,074.30

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Solution

The fourth proportional to 502,829.66, 693,805.68 and 282,074.30 is: 389,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,829.66 : 693,805.68 = 282,074.30 : x
  2. Step 2: Convert to fraction form
    502,829.66/693,805.68 = 282,074.30/x
  3. Step 3: Cross multiply
    502,829.66x = 693,805.68 × 282,074.30
  4. Step 4: Simplify right side
    502,829.66x = 195,704,751,522.02
  5. Step 5: Solve for x
    x = 195,704,751,522.02/502,829.66
  6. Step 6: Final answer
    x = 389,206.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.