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Finding the Fourth Proportional to 437,830.44, 656,784.54 and 157,427.88

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Solution

The fourth proportional to 437,830.44, 656,784.54 and 157,427.88 is: 236,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,830.44 : 656,784.54 = 157,427.88 : x
  2. Step 2: Convert to fraction form
    437,830.44/656,784.54 = 157,427.88/x
  3. Step 3: Cross multiply
    437,830.44x = 656,784.54 × 157,427.88
  4. Step 4: Simplify right side
    437,830.44x = 103,396,197,748.98
  5. Step 5: Solve for x
    x = 103,396,197,748.98/437,830.44
  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.