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Finding the Fourth Proportional to 502,502.73, 693,563.13 and 309,076.68

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Solution

The fourth proportional to 502,502.73, 693,563.13 and 309,076.68 is: 426,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,502.73 : 693,563.13 = 309,076.68 : x
  2. Step 2: Convert to fraction form
    502,502.73/693,563.13 = 309,076.68/x
  3. Step 3: Cross multiply
    502,502.73x = 693,563.13 × 309,076.68
  4. Step 4: Simplify right side
    502,502.73x = 214,364,189,590.81
  5. Step 5: Solve for x
    x = 214,364,189,590.81/502,502.73
  6. Step 6: Final answer
    x = 426,593.08

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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.