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Finding the Fourth Proportional to 460,478.13, 690,810.62 and 144,861.63

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Solution

The fourth proportional to 460,478.13, 690,810.62 and 144,861.63 is: 217,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,478.13 : 690,810.62 = 144,861.63 : x
  2. Step 2: Convert to fraction form
    460,478.13/690,810.62 = 144,861.63/x
  3. Step 3: Cross multiply
    460,478.13x = 690,810.62 × 144,861.63
  4. Step 4: Simplify right side
    460,478.13x = 100,071,951,710.20
  5. Step 5: Solve for x
    x = 100,071,951,710.20/460,478.13
  6. Step 6: Final answer
    x = 217,321.83

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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.