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Finding the Fourth Proportional to 509,355.88, 702,898.50 and 283,001.92

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Solution

The fourth proportional to 509,355.88, 702,898.50 and 283,001.92 is: 390,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,355.88 : 702,898.50 = 283,001.92 : x
  2. Step 2: Convert to fraction form
    509,355.88/702,898.50 = 283,001.92/x
  3. Step 3: Cross multiply
    509,355.88x = 702,898.50 × 283,001.92
  4. Step 4: Simplify right side
    509,355.88x = 198,921,625,065.12
  5. Step 5: Solve for x
    x = 198,921,625,065.12/509,355.88
  6. Step 6: Final answer
    x = 390,535.64

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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.