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Finding the Fourth Proportional to 460,471.65, 690,800.89 and 144,855.15

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Solution

The fourth proportional to 460,471.65, 690,800.89 and 144,855.15 is: 217,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,471.65 : 690,800.89 = 144,855.15 : x
  2. Step 2: Convert to fraction form
    460,471.65/690,800.89 = 144,855.15/x
  3. Step 3: Cross multiply
    460,471.65x = 690,800.89 × 144,855.15
  4. Step 4: Simplify right side
    460,471.65x = 100,066,062,724.94
  5. Step 5: Solve for x
    x = 100,066,062,724.94/460,471.65
  6. Step 6: Final answer
    x = 217,312.11

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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.