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Finding the Fourth Proportional to 498,528.90, 747,793.35 and 143,578.80

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Solution

The fourth proportional to 498,528.90, 747,793.35 and 143,578.80 is: 215,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,528.90 : 747,793.35 = 143,578.80 : x
  2. Step 2: Convert to fraction form
    498,528.90/747,793.35 = 143,578.80/x
  3. Step 3: Cross multiply
    498,528.90x = 747,793.35 × 143,578.80
  4. Step 4: Simplify right side
    498,528.90x = 107,367,271,840.98
  5. Step 5: Solve for x
    x = 107,367,271,840.98/498,528.90
  6. Step 6: Final answer
    x = 215,368.20

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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.