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Finding the Fourth Proportional to 498,748.80, 747,302.40 and 288,019.20

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Solution

The fourth proportional to 498,748.80, 747,302.40 and 288,019.20 is: 431,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,748.80 : 747,302.40 = 288,019.20 : x
  2. Step 2: Convert to fraction form
    498,748.80/747,302.40 = 288,019.20/x
  3. Step 3: Cross multiply
    498,748.80x = 747,302.40 × 288,019.20
  4. Step 4: Simplify right side
    498,748.80x = 215,237,439,406.08
  5. Step 5: Solve for x
    x = 215,237,439,406.08/498,748.80
  6. Step 6: Final answer
    x = 431,554.80

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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.