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Finding the Fourth Proportional to 664,112.16, 916,472.76 and 362,304

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Solution

The fourth proportional to 664,112.16, 916,472.76 and 362,304 is: 499,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,112.16 : 916,472.76 = 362,304 : x
  2. Step 2: Convert to fraction form
    664,112.16/916,472.76 = 362,304/x
  3. Step 3: Cross multiply
    664,112.16x = 916,472.76 × 362,304
  4. Step 4: Simplify right side
    664,112.16x = 332,041,746,839.04
  5. Step 5: Solve for x
    x = 332,041,746,839.04/664,112.16
  6. Step 6: Final answer
    x = 499,978.42

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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.