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Finding the Fourth Proportional to 502,502.13, 693,562.30 and 309,076.05

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Solution

The fourth proportional to 502,502.13, 693,562.30 and 309,076.05 is: 426,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,502.13 : 693,562.30 = 309,076.05 : x
  2. Step 2: Convert to fraction form
    502,502.13/693,562.30 = 309,076.05/x
  3. Step 3: Cross multiply
    502,502.13x = 693,562.30 × 309,076.05
  4. Step 4: Simplify right side
    502,502.13x = 214,363,497,941.08
  5. Step 5: Solve for x
    x = 214,363,497,941.08/502,502.13
  6. Step 6: Final answer
    x = 426,592.22

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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.