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Finding the Fourth Proportional to 257,813.85, 386,628.12 and 89,288.79

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Solution

The fourth proportional to 257,813.85, 386,628.12 and 89,288.79 is: 133,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,813.85 : 386,628.12 = 89,288.79 : x
  2. Step 2: Convert to fraction form
    257,813.85/386,628.12 = 89,288.79/x
  3. Step 3: Cross multiply
    257,813.85x = 386,628.12 × 89,288.79
  4. Step 4: Simplify right side
    257,813.85x = 34,521,557,014.77
  5. Step 5: Solve for x
    x = 34,521,557,014.77/257,813.85
  6. Step 6: Final answer
    x = 133,901.10

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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.