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Finding the Fourth Proportional to 384,625.40, 576,938.10 and 278,337.20

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Solution

The fourth proportional to 384,625.40, 576,938.10 and 278,337.20 is: 417,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,625.40 : 576,938.10 = 278,337.20 : x
  2. Step 2: Convert to fraction form
    384,625.40/576,938.10 = 278,337.20/x
  3. Step 3: Cross multiply
    384,625.40x = 576,938.10 × 278,337.20
  4. Step 4: Simplify right side
    384,625.40x = 160,583,335,327.32
  5. Step 5: Solve for x
    x = 160,583,335,327.32/384,625.40
  6. Step 6: Final answer
    x = 417,505.80

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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.