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Finding the Fourth Proportional to 508,714.49, 702,034.82 and 279,293.13

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Solution

The fourth proportional to 508,714.49, 702,034.82 and 279,293.13 is: 385,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,714.49 : 702,034.82 = 279,293.13 : x
  2. Step 2: Convert to fraction form
    508,714.49/702,034.82 = 279,293.13/x
  3. Step 3: Cross multiply
    508,714.49x = 702,034.82 × 279,293.13
  4. Step 4: Simplify right side
    508,714.49x = 196,073,502,246.79
  5. Step 5: Solve for x
    x = 196,073,502,246.79/508,714.49
  6. Step 6: Final answer
    x = 385,429.36

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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.