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Finding the Fourth Proportional to 278,462.71, 417,627.16 and 128,558.98

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Solution

The fourth proportional to 278,462.71, 417,627.16 and 128,558.98 is: 192,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,462.71 : 417,627.16 = 128,558.98 : x
  2. Step 2: Convert to fraction form
    278,462.71/417,627.16 = 128,558.98/x
  3. Step 3: Cross multiply
    278,462.71x = 417,627.16 × 128,558.98
  4. Step 4: Simplify right side
    278,462.71x = 53,689,718,978.97
  5. Step 5: Solve for x
    x = 53,689,718,978.97/278,462.71
  6. Step 6: Final answer
    x = 192,807.58

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1.5x scale

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.