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Finding the Fourth Proportional to 306,714.39, 459,847 and 144,553.20

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Solution

The fourth proportional to 306,714.39, 459,847 and 144,553.20 is: 216,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,714.39 : 459,847 = 144,553.20 : x
  2. Step 2: Convert to fraction form
    306,714.39/459,847 = 144,553.20/x
  3. Step 3: Cross multiply
    306,714.39x = 459,847 × 144,553.20
  4. Step 4: Simplify right side
    306,714.39x = 66,472,355,360.40
  5. Step 5: Solve for x
    x = 66,472,355,360.40/306,714.39
  6. Step 6: Final answer
    x = 216,723.95

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1.5x scale

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.