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Finding the Fourth Proportional to 390,614.91, 539,063.86 and 229,468.55

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Solution

The fourth proportional to 390,614.91, 539,063.86 and 229,468.55 is: 316,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,614.91 : 539,063.86 = 229,468.55 : x
  2. Step 2: Convert to fraction form
    390,614.91/539,063.86 = 229,468.55/x
  3. Step 3: Cross multiply
    390,614.91x = 539,063.86 × 229,468.55
  4. Step 4: Simplify right side
    390,614.91x = 123,698,199,472.87
  5. Step 5: Solve for x
    x = 123,698,199,472.87/390,614.91
  6. Step 6: Final answer
    x = 316,675.57

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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.