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Finding the Fourth Proportional to 502,712.72, 693,666.18 and 298,688.12

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Solution

The fourth proportional to 502,712.72, 693,666.18 and 298,688.12 is: 412,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,712.72 : 693,666.18 = 298,688.12 : x
  2. Step 2: Convert to fraction form
    502,712.72/693,666.18 = 298,688.12/x
  3. Step 3: Cross multiply
    502,712.72x = 693,666.18 × 298,688.12
  4. Step 4: Simplify right side
    502,712.72x = 207,189,843,743.45
  5. Step 5: Solve for x
    x = 207,189,843,743.45/502,712.72
  6. Step 6: Final answer
    x = 412,143.63

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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.