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Finding the Fourth Proportional to 457,157.28, 685,780.92 and 157,598.40

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Solution

The fourth proportional to 457,157.28, 685,780.92 and 157,598.40 is: 236,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,157.28 : 685,780.92 = 157,598.40 : x
  2. Step 2: Convert to fraction form
    457,157.28/685,780.92 = 157,598.40/x
  3. Step 3: Cross multiply
    457,157.28x = 685,780.92 × 157,598.40
  4. Step 4: Simplify right side
    457,157.28x = 108,077,975,742.53
  5. Step 5: Solve for x
    x = 108,077,975,742.53/457,157.28
  6. Step 6: Final answer
    x = 236,413.11

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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.