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Finding the Fourth Proportional to 457,178.93, 685,813.55 and 157,620.14

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Solution

The fourth proportional to 457,178.93, 685,813.55 and 157,620.14 is: 236,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,178.93 : 685,813.55 = 157,620.14 : x
  2. Step 2: Convert to fraction form
    457,178.93/685,813.55 = 157,620.14/x
  3. Step 3: Cross multiply
    457,178.93x = 685,813.55 × 157,620.14
  4. Step 4: Simplify right side
    457,178.93x = 108,098,023,547.73
  5. Step 5: Solve for x
    x = 108,098,023,547.73/457,178.93
  6. Step 6: Final answer
    x = 236,445.77

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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.