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Finding the Fourth Proportional to 516,361.84, 712,634.86 and 312,524.93

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Solution

The fourth proportional to 516,361.84, 712,634.86 and 312,524.93 is: 431,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,361.84 : 712,634.86 = 312,524.93 : x
  2. Step 2: Convert to fraction form
    516,361.84/712,634.86 = 312,524.93/x
  3. Step 3: Cross multiply
    516,361.84x = 712,634.86 × 312,524.93
  4. Step 4: Simplify right side
    516,361.84x = 222,716,161,909.30
  5. Step 5: Solve for x
    x = 222,716,161,909.30/516,361.84
  6. Step 6: Final answer
    x = 431,318.01

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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.