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Finding the Fourth Proportional to 280,426.50, 420,640.65 and 70,064.46

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Solution

The fourth proportional to 280,426.50, 420,640.65 and 70,064.46 is: 105,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,426.50 : 420,640.65 = 70,064.46 : x
  2. Step 2: Convert to fraction form
    280,426.50/420,640.65 = 70,064.46/x
  3. Step 3: Cross multiply
    280,426.50x = 420,640.65 × 70,064.46
  4. Step 4: Simplify right side
    280,426.50x = 29,471,959,996.30
  5. Step 5: Solve for x
    x = 29,471,959,996.30/280,426.50
  6. Step 6: Final answer
    x = 105,096.91

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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.