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Finding the Fourth Proportional to 516,431.79, 712,471.84 and 298,600.65

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Solution

The fourth proportional to 516,431.79, 712,471.84 and 298,600.65 is: 411,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,431.79 : 712,471.84 = 298,600.65 : x
  2. Step 2: Convert to fraction form
    516,431.79/712,471.84 = 298,600.65/x
  3. Step 3: Cross multiply
    516,431.79x = 712,471.84 × 298,600.65
  4. Step 4: Simplify right side
    516,431.79x = 212,744,554,530.70
  5. Step 5: Solve for x
    x = 212,744,554,530.70/516,431.79
  6. Step 6: Final answer
    x = 411,950.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.