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Finding the Fourth Proportional to 384,409.80, 576,613.34 and 103,927

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Solution

The fourth proportional to 384,409.80, 576,613.34 and 103,927 is: 155,890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,409.80 : 576,613.34 = 103,927 : x
  2. Step 2: Convert to fraction form
    384,409.80/576,613.34 = 103,927/x
  3. Step 3: Cross multiply
    384,409.80x = 576,613.34 × 103,927
  4. Step 4: Simplify right side
    384,409.80x = 59,925,694,586.18
  5. Step 5: Solve for x
    x = 59,925,694,586.18/384,409.80
  6. Step 6: Final answer
    x = 155,890.13

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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.