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Finding the Fourth Proportional to 437,560.60, 656,340.90 and 157,106.20

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Solution

The fourth proportional to 437,560.60, 656,340.90 and 157,106.20 is: 235,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,560.60 : 656,340.90 = 157,106.20 : x
  2. Step 2: Convert to fraction form
    437,560.60/656,340.90 = 157,106.20/x
  3. Step 3: Cross multiply
    437,560.60x = 656,340.90 × 157,106.20
  4. Step 4: Simplify right side
    437,560.60x = 103,115,224,703.58
  5. Step 5: Solve for x
    x = 103,115,224,703.58/437,560.60
  6. Step 6: Final answer
    x = 235,659.30

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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.