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Finding the Fourth Proportional to 385,103.52, 577,758.32 and 118,853.28

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Solution

The fourth proportional to 385,103.52, 577,758.32 and 118,853.28 is: 178,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,103.52 : 577,758.32 = 118,853.28 : x
  2. Step 2: Convert to fraction form
    385,103.52/577,758.32 = 118,853.28/x
  3. Step 3: Cross multiply
    385,103.52x = 577,758.32 × 118,853.28
  4. Step 4: Simplify right side
    385,103.52x = 68,668,471,379.29
  5. Step 5: Solve for x
    x = 68,668,471,379.29/385,103.52
  6. Step 6: Final answer
    x = 178,311.72

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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.