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Finding the Fourth Proportional to 354,659.20, 532,012.80 and 144,300.80

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Solution

The fourth proportional to 354,659.20, 532,012.80 and 144,300.80 is: 216,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,659.20 : 532,012.80 = 144,300.80 : x
  2. Step 2: Convert to fraction form
    354,659.20/532,012.80 = 144,300.80/x
  3. Step 3: Cross multiply
    354,659.20x = 532,012.80 × 144,300.80
  4. Step 4: Simplify right side
    354,659.20x = 76,769,872,650.24
  5. Step 5: Solve for x
    x = 76,769,872,650.24/354,659.20
  6. Step 6: Final answer
    x = 216,460.96

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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.