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Finding the Fourth Proportional to 253,807.32, 380,454.65 and 159,103.88

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Solution

The fourth proportional to 253,807.32, 380,454.65 and 159,103.88 is: 238,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,807.32 : 380,454.65 = 159,103.88 : x
  2. Step 2: Convert to fraction form
    253,807.32/380,454.65 = 159,103.88/x
  3. Step 3: Cross multiply
    253,807.32x = 380,454.65 × 159,103.88
  4. Step 4: Simplify right side
    253,807.32x = 60,531,811,134.66
  5. Step 5: Solve for x
    x = 60,531,811,134.66/253,807.32
  6. Step 6: Final answer
    x = 238,495.14

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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.