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Finding the Fourth Proportional to 457,157.61, 685,781.53 and 157,598.76

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Solution

The fourth proportional to 457,157.61, 685,781.53 and 157,598.76 is: 236,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,157.61 : 685,781.53 = 157,598.76 : x
  2. Step 2: Convert to fraction form
    457,157.61/685,781.53 = 157,598.76/x
  3. Step 3: Cross multiply
    457,157.61x = 685,781.53 × 157,598.76
  4. Step 4: Simplify right side
    457,157.61x = 108,078,318,758.90
  5. Step 5: Solve for x
    x = 108,078,318,758.90/457,157.61
  6. Step 6: Final answer
    x = 236,413.69

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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.