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Finding the Fourth Proportional to 257,181.48, 385,631.28 and 79,639.20

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Solution

The fourth proportional to 257,181.48, 385,631.28 and 79,639.20 is: 119,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,181.48 : 385,631.28 = 79,639.20 : x
  2. Step 2: Convert to fraction form
    257,181.48/385,631.28 = 79,639.20/x
  3. Step 3: Cross multiply
    257,181.48x = 385,631.28 × 79,639.20
  4. Step 4: Simplify right side
    257,181.48x = 30,711,366,634.18
  5. Step 5: Solve for x
    x = 30,711,366,634.18/257,181.48
  6. Step 6: Final answer
    x = 119,415.16

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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.