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Finding the Fourth Proportional to 437,891.60, 656,837.40 and 157,437.20

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Solution

The fourth proportional to 437,891.60, 656,837.40 and 157,437.20 is: 236,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,891.60 : 656,837.40 = 157,437.20 : x
  2. Step 2: Convert to fraction form
    437,891.60/656,837.40 = 157,437.20/x
  3. Step 3: Cross multiply
    437,891.60x = 656,837.40 × 157,437.20
  4. Step 4: Simplify right side
    437,891.60x = 103,410,641,111.28
  5. Step 5: Solve for x
    x = 103,410,641,111.28/437,891.60
  6. Step 6: Final answer
    x = 236,155.80

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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.