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Finding the Fourth Proportional to 509,248.30, 702,767.62 and 279,801.90

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Solution

The fourth proportional to 509,248.30, 702,767.62 and 279,801.90 is: 386,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,248.30 : 702,767.62 = 279,801.90 : x
  2. Step 2: Convert to fraction form
    509,248.30/702,767.62 = 279,801.90/x
  3. Step 3: Cross multiply
    509,248.30x = 702,767.62 × 279,801.90
  4. Step 4: Simplify right side
    509,248.30x = 196,635,715,334.48
  5. Step 5: Solve for x
    x = 196,635,715,334.48/509,248.30
  6. Step 6: Final answer
    x = 386,129.35

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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.