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Finding the Fourth Proportional to 280,134.20, 419,423.70 and 272,358.20

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Solution

The fourth proportional to 280,134.20, 419,423.70 and 272,358.20 is: 407,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,134.20 : 419,423.70 = 272,358.20 : x
  2. Step 2: Convert to fraction form
    280,134.20/419,423.70 = 272,358.20/x
  3. Step 3: Cross multiply
    280,134.20x = 419,423.70 × 272,358.20
  4. Step 4: Simplify right side
    280,134.20x = 114,233,483,969.34
  5. Step 5: Solve for x
    x = 114,233,483,969.34/280,134.20
  6. Step 6: Final answer
    x = 407,781.28

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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.