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Finding the Fourth Proportional to 308,002.30, 462,003.45 and 280,008.70

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Solution

The fourth proportional to 308,002.30, 462,003.45 and 280,008.70 is: 420,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,002.30 : 462,003.45 = 280,008.70 : x
  2. Step 2: Convert to fraction form
    308,002.30/462,003.45 = 280,008.70/x
  3. Step 3: Cross multiply
    308,002.30x = 462,003.45 × 280,008.70
  4. Step 4: Simplify right side
    308,002.30x = 129,364,985,430.02
  5. Step 5: Solve for x
    x = 129,364,985,430.02/308,002.30
  6. Step 6: Final answer
    x = 420,013.05

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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.