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Finding the Fourth Proportional to 308,002.80, 462,004.20 and 280,009.20

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Solution

The fourth proportional to 308,002.80, 462,004.20 and 280,009.20 is: 420,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,002.80 : 462,004.20 = 280,009.20 : x
  2. Step 2: Convert to fraction form
    308,002.80/462,004.20 = 280,009.20/x
  3. Step 3: Cross multiply
    308,002.80x = 462,004.20 × 280,009.20
  4. Step 4: Simplify right side
    308,002.80x = 129,365,426,438.64
  5. Step 5: Solve for x
    x = 129,365,426,438.64/308,002.80
  6. Step 6: Final answer
    x = 420,013.80

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1.5x scale

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.