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Finding the Fourth Proportional to 502,711.22, 693,664.11 and 298,686.62

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Solution

The fourth proportional to 502,711.22, 693,664.11 and 298,686.62 is: 412,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,711.22 : 693,664.11 = 298,686.62 : x
  2. Step 2: Convert to fraction form
    502,711.22/693,664.11 = 298,686.62/x
  3. Step 3: Cross multiply
    502,711.22x = 693,664.11 × 298,686.62
  4. Step 4: Simplify right side
    502,711.22x = 207,188,184,962.89
  5. Step 5: Solve for x
    x = 207,188,184,962.89/502,711.22
  6. Step 6: Final answer
    x = 412,141.56

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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.