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Finding the Fourth Proportional to 253,248.32, 379,928.64 and 95,478.14

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Solution

The fourth proportional to 253,248.32, 379,928.64 and 95,478.14 is: 143,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,248.32 : 379,928.64 = 95,478.14 : x
  2. Step 2: Convert to fraction form
    253,248.32/379,928.64 = 95,478.14/x
  3. Step 3: Cross multiply
    253,248.32x = 379,928.64 × 95,478.14
  4. Step 4: Simplify right side
    253,248.32x = 36,274,879,879.93
  5. Step 5: Solve for x
    x = 36,274,879,879.93/253,248.32
  6. Step 6: Final answer
    x = 143,238.38

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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.