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Finding the Fourth Proportional to 280,376.79, 420,461.29 and 100,434.17

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Solution

The fourth proportional to 280,376.79, 420,461.29 and 100,434.17 is: 150,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,376.79 : 420,461.29 = 100,434.17 : x
  2. Step 2: Convert to fraction form
    280,376.79/420,461.29 = 100,434.17/x
  3. Step 3: Cross multiply
    280,376.79x = 420,461.29 × 100,434.17
  4. Step 4: Simplify right side
    280,376.79x = 42,228,680,678.28
  5. Step 5: Solve for x
    x = 42,228,680,678.28/280,376.79
  6. Step 6: Final answer
    x = 150,614.04

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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.