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Finding the Fourth Proportional to 457,037.10, 685,135.80 and 157,446.45

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Solution

The fourth proportional to 457,037.10, 685,135.80 and 157,446.45 is: 236,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,037.10 : 685,135.80 = 157,446.45 : x
  2. Step 2: Convert to fraction form
    457,037.10/685,135.80 = 157,446.45/x
  3. Step 3: Cross multiply
    457,037.10x = 685,135.80 × 157,446.45
  4. Step 4: Simplify right side
    457,037.10x = 107,872,199,477.91
  5. Step 5: Solve for x
    x = 107,872,199,477.91/457,037.10
  6. Step 6: Final answer
    x = 236,025.04

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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.