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Finding the Fourth Proportional to 257,448.96, 386,078.72 and 88,926.40

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Solution

The fourth proportional to 257,448.96, 386,078.72 and 88,926.40 is: 133,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,448.96 : 386,078.72 = 88,926.40 : x
  2. Step 2: Convert to fraction form
    257,448.96/386,078.72 = 88,926.40/x
  3. Step 3: Cross multiply
    257,448.96x = 386,078.72 × 88,926.40
  4. Step 4: Simplify right side
    257,448.96x = 34,332,590,686.21
  5. Step 5: Solve for x
    x = 34,332,590,686.21/257,448.96
  6. Step 6: Final answer
    x = 133,356.88

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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.