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Finding the Fourth Proportional to 458,592.34, 687,139.42 and 278,732.78

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Solution

The fourth proportional to 458,592.34, 687,139.42 and 278,732.78 is: 417,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,592.34 : 687,139.42 = 278,732.78 : x
  2. Step 2: Convert to fraction form
    458,592.34/687,139.42 = 278,732.78/x
  3. Step 3: Cross multiply
    458,592.34x = 687,139.42 × 278,732.78
  4. Step 4: Simplify right side
    458,592.34x = 191,528,275,954.83
  5. Step 5: Solve for x
    x = 191,528,275,954.83/458,592.34
  6. Step 6: Final answer
    x = 417,643.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.