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Finding the Fourth Proportional to 457,155.45, 685,778.28 and 157,596.57

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Solution

The fourth proportional to 457,155.45, 685,778.28 and 157,596.57 is: 236,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,155.45 : 685,778.28 = 157,596.57 : x
  2. Step 2: Convert to fraction form
    457,155.45/685,778.28 = 157,596.57/x
  3. Step 3: Cross multiply
    457,155.45x = 685,778.28 × 157,596.57
  4. Step 4: Simplify right side
    457,155.45x = 108,076,304,708.50
  5. Step 5: Solve for x
    x = 108,076,304,708.50/457,155.45
  6. Step 6: Final answer
    x = 236,410.40

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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.