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Finding the Fourth Proportional to 516,381.82, 712,662.42 and 312,544.87

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Solution

The fourth proportional to 516,381.82, 712,662.42 and 312,544.87 is: 431,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,381.82 : 712,662.42 = 312,544.87 : x
  2. Step 2: Convert to fraction form
    516,381.82/712,662.42 = 312,544.87/x
  3. Step 3: Cross multiply
    516,381.82x = 712,662.42 × 312,544.87
  4. Step 4: Simplify right side
    516,381.82x = 222,738,983,412.79
  5. Step 5: Solve for x
    x = 222,738,983,412.79/516,381.82
  6. Step 6: Final answer
    x = 431,345.52

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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.