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Finding the Fourth Proportional to 506,438.14, 698,872.71 and 280,078.78

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Solution

The fourth proportional to 506,438.14, 698,872.71 and 280,078.78 is: 386,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,438.14 : 698,872.71 = 280,078.78 : x
  2. Step 2: Convert to fraction form
    506,438.14/698,872.71 = 280,078.78/x
  3. Step 3: Cross multiply
    506,438.14x = 698,872.71 × 280,078.78
  4. Step 4: Simplify right side
    506,438.14x = 195,739,415,992.09
  5. Step 5: Solve for x
    x = 195,739,415,992.09/506,438.14
  6. Step 6: Final answer
    x = 386,502.12

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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.