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Finding the Fourth Proportional to 509,402.82, 702,930.15 and 279,957.60

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Solution

The fourth proportional to 509,402.82, 702,930.15 and 279,957.60 is: 386,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,402.82 : 702,930.15 = 279,957.60 : x
  2. Step 2: Convert to fraction form
    509,402.82/702,930.15 = 279,957.60/x
  3. Step 3: Cross multiply
    509,402.82x = 702,930.15 × 279,957.60
  4. Step 4: Simplify right side
    509,402.82x = 196,790,637,761.64
  5. Step 5: Solve for x
    x = 196,790,637,761.64/509,402.82
  6. Step 6: Final answer
    x = 386,316.35

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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.