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Finding the Fourth Proportional to 459,991.80, 690,016.77 and 144,461.16

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Solution

The fourth proportional to 459,991.80, 690,016.77 and 144,461.16 is: 216,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,991.80 : 690,016.77 = 144,461.16 : x
  2. Step 2: Convert to fraction form
    459,991.80/690,016.77 = 144,461.16/x
  3. Step 3: Cross multiply
    459,991.80x = 690,016.77 × 144,461.16
  4. Step 4: Simplify right side
    459,991.80x = 99,680,623,013.65
  5. Step 5: Solve for x
    x = 99,680,623,013.65/459,991.80
  6. Step 6: Final answer
    x = 216,700.87

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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.