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Finding the Fourth Proportional to 423,267.28, 634,495.92 and 156,956.56

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Solution

The fourth proportional to 423,267.28, 634,495.92 and 156,956.56 is: 235,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,267.28 : 634,495.92 = 156,956.56 : x
  2. Step 2: Convert to fraction form
    423,267.28/634,495.92 = 156,956.56/x
  3. Step 3: Cross multiply
    423,267.28x = 634,495.92 × 156,956.56
  4. Step 4: Simplify right side
    423,267.28x = 99,588,296,937.24
  5. Step 5: Solve for x
    x = 99,588,296,937.24/423,267.28
  6. Step 6: Final answer
    x = 235,284.66

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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.