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Finding the Fourth Proportional to 402,489.20, 603,733.80 and 360,498.80

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Solution

The fourth proportional to 402,489.20, 603,733.80 and 360,498.80 is: 540,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,489.20 : 603,733.80 = 360,498.80 : x
  2. Step 2: Convert to fraction form
    402,489.20/603,733.80 = 360,498.80/x
  3. Step 3: Cross multiply
    402,489.20x = 603,733.80 × 360,498.80
  4. Step 4: Simplify right side
    402,489.20x = 217,645,310,419.44
  5. Step 5: Solve for x
    x = 217,645,310,419.44/402,489.20
  6. Step 6: Final answer
    x = 540,748.20

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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.