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Finding the Fourth Proportional to 486,049.40, 729,074.10 and 428,312.60

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Solution

The fourth proportional to 486,049.40, 729,074.10 and 428,312.60 is: 642,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,049.40 : 729,074.10 = 428,312.60 : x
  2. Step 2: Convert to fraction form
    486,049.40/729,074.10 = 428,312.60/x
  3. Step 3: Cross multiply
    486,049.40x = 729,074.10 × 428,312.60
  4. Step 4: Simplify right side
    486,049.40x = 312,271,623,363.66
  5. Step 5: Solve for x
    x = 312,271,623,363.66/486,049.40
  6. Step 6: Final answer
    x = 642,468.90

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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.