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Finding the Fourth Proportional to 257,478.28, 386,217.66 and 146,437

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Solution

The fourth proportional to 257,478.28, 386,217.66 and 146,437 is: 219,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,478.28 : 386,217.66 = 146,437 : x
  2. Step 2: Convert to fraction form
    257,478.28/386,217.66 = 146,437/x
  3. Step 3: Cross multiply
    257,478.28x = 386,217.66 × 146,437
  4. Step 4: Simplify right side
    257,478.28x = 56,556,555,477.42
  5. Step 5: Solve for x
    x = 56,556,555,477.42/257,478.28
  6. Step 6: Final answer
    x = 219,655.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.