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Finding the Fourth Proportional to 378,113.92, 521,795.04 and 206,031.76

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Solution

The fourth proportional to 378,113.92, 521,795.04 and 206,031.76 is: 284,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,113.92 : 521,795.04 = 206,031.76 : x
  2. Step 2: Convert to fraction form
    378,113.92/521,795.04 = 206,031.76/x
  3. Step 3: Cross multiply
    378,113.92x = 521,795.04 × 206,031.76
  4. Step 4: Simplify right side
    378,113.92x = 107,506,350,450.47
  5. Step 5: Solve for x
    x = 107,506,350,450.47/378,113.92
  6. Step 6: Final answer
    x = 284,322.65

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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.