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Finding the Fourth Proportional to 509,407.89, 702,937.14 and 279,962.66

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Solution

The fourth proportional to 509,407.89, 702,937.14 and 279,962.66 is: 386,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,407.89 : 702,937.14 = 279,962.66 : x
  2. Step 2: Convert to fraction form
    509,407.89/702,937.14 = 279,962.66/x
  3. Step 3: Cross multiply
    509,407.89x = 702,937.14 × 279,962.66
  4. Step 4: Simplify right side
    509,407.89x = 196,796,152,234.68
  5. Step 5: Solve for x
    x = 196,796,152,234.68/509,407.89
  6. Step 6: Final answer
    x = 386,323.33

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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.