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Finding the Fourth Proportional to 459,937.86, 690,020.70 and 220,234.16

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Solution

The fourth proportional to 459,937.86, 690,020.70 and 220,234.16 is: 330,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,937.86 : 690,020.70 = 220,234.16 : x
  2. Step 2: Convert to fraction form
    459,937.86/690,020.70 = 220,234.16/x
  3. Step 3: Cross multiply
    459,937.86x = 690,020.70 × 220,234.16
  4. Step 4: Simplify right side
    459,937.86x = 151,966,125,797.01
  5. Step 5: Solve for x
    x = 151,966,125,797.01/459,937.86
  6. Step 6: Final answer
    x = 330,405.78

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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.