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Finding the Fourth Proportional to 257,479.28, 386,219.16 and 146,438

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Solution

The fourth proportional to 257,479.28, 386,219.16 and 146,438 is: 219,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,479.28 : 386,219.16 = 146,438 : x
  2. Step 2: Convert to fraction form
    257,479.28/386,219.16 = 146,438/x
  3. Step 3: Cross multiply
    257,479.28x = 386,219.16 × 146,438
  4. Step 4: Simplify right side
    257,479.28x = 56,557,161,352.08
  5. Step 5: Solve for x
    x = 56,557,161,352.08/257,479.28
  6. Step 6: Final answer
    x = 219,657.14

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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.