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Finding the Fourth Proportional to 384,368.10, 576,552.15 and 278,079.90

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Solution

The fourth proportional to 384,368.10, 576,552.15 and 278,079.90 is: 417,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,368.10 : 576,552.15 = 278,079.90 : x
  2. Step 2: Convert to fraction form
    384,368.10/576,552.15 = 278,079.90/x
  3. Step 3: Cross multiply
    384,368.10x = 576,552.15 × 278,079.90
  4. Step 4: Simplify right side
    384,368.10x = 160,327,564,216.79
  5. Step 5: Solve for x
    x = 160,327,564,216.79/384,368.10
  6. Step 6: Final answer
    x = 417,119.85

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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.