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Finding the Fourth Proportional to 257,355.29, 386,045.24 and 124,347.42

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Solution

The fourth proportional to 257,355.29, 386,045.24 and 124,347.42 is: 186,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,355.29 : 386,045.24 = 124,347.42 : x
  2. Step 2: Convert to fraction form
    257,355.29/386,045.24 = 124,347.42/x
  3. Step 3: Cross multiply
    257,355.29x = 386,045.24 × 124,347.42
  4. Step 4: Simplify right side
    257,355.29x = 48,003,728,975.54
  5. Step 5: Solve for x
    x = 48,003,728,975.54/257,355.29
  6. Step 6: Final answer
    x = 186,527.07

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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.