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Finding the Fourth Proportional to 457,502.94, 686,346.17 and 157,994.55

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Solution

The fourth proportional to 457,502.94, 686,346.17 and 157,994.55 is: 237,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,502.94 : 686,346.17 = 157,994.55 : x
  2. Step 2: Convert to fraction form
    457,502.94/686,346.17 = 157,994.55/x
  3. Step 3: Cross multiply
    457,502.94x = 686,346.17 × 157,994.55
  4. Step 4: Simplify right side
    457,502.94x = 108,438,953,483.40
  5. Step 5: Solve for x
    x = 108,438,953,483.40/457,502.94
  6. Step 6: Final answer
    x = 237,023.51

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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.