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Finding the Fourth Proportional to 354,874.20, 532,311.30 and 242,899.80

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Solution

The fourth proportional to 354,874.20, 532,311.30 and 242,899.80 is: 364,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,874.20 : 532,311.30 = 242,899.80 : x
  2. Step 2: Convert to fraction form
    354,874.20/532,311.30 = 242,899.80/x
  3. Step 3: Cross multiply
    354,874.20x = 532,311.30 × 242,899.80
  4. Step 4: Simplify right side
    354,874.20x = 129,298,308,307.74
  5. Step 5: Solve for x
    x = 129,298,308,307.74/354,874.20
  6. Step 6: Final answer
    x = 364,349.70

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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.