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Finding the Fourth Proportional to 460,283.13, 690,449.30 and 144,764.64

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Solution

The fourth proportional to 460,283.13, 690,449.30 and 144,764.64 is: 217,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,283.13 : 690,449.30 = 144,764.64 : x
  2. Step 2: Convert to fraction form
    460,283.13/690,449.30 = 144,764.64/x
  3. Step 3: Cross multiply
    460,283.13x = 690,449.30 × 144,764.64
  4. Step 4: Simplify right side
    460,283.13x = 99,952,646,724.41
  5. Step 5: Solve for x
    x = 99,952,646,724.41/460,283.13
  6. Step 6: Final answer
    x = 217,154.70

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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.