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Finding the Fourth Proportional to 280,434.60, 420,202.62 and 147,309.48

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Solution

The fourth proportional to 280,434.60, 420,202.62 and 147,309.48 is: 220,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,434.60 : 420,202.62 = 147,309.48 : x
  2. Step 2: Convert to fraction form
    280,434.60/420,202.62 = 147,309.48/x
  3. Step 3: Cross multiply
    280,434.60x = 420,202.62 × 147,309.48
  4. Step 4: Simplify right side
    280,434.60x = 61,899,829,446.84
  5. Step 5: Solve for x
    x = 61,899,829,446.84/280,434.60
  6. Step 6: Final answer
    x = 220,728.22

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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.