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Finding the Fourth Proportional to 384,275.95, 576,412.71 and 103,793.20

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Solution

The fourth proportional to 384,275.95, 576,412.71 and 103,793.20 is: 155,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,275.95 : 576,412.71 = 103,793.20 : x
  2. Step 2: Convert to fraction form
    384,275.95/576,412.71 = 103,793.20/x
  3. Step 3: Cross multiply
    384,275.95x = 576,412.71 × 103,793.20
  4. Step 4: Simplify right side
    384,275.95x = 59,827,717,861.32
  5. Step 5: Solve for x
    x = 59,827,717,861.32/384,275.95
  6. Step 6: Final answer
    x = 155,689.47

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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.