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Finding the Fourth Proportional to 463,711.91, 640,015.70 and 316,928.70

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Solution

The fourth proportional to 463,711.91, 640,015.70 and 316,928.70 is: 437,425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,711.91 : 640,015.70 = 316,928.70 : x
  2. Step 2: Convert to fraction form
    463,711.91/640,015.70 = 316,928.70/x
  3. Step 3: Cross multiply
    463,711.91x = 640,015.70 × 316,928.70
  4. Step 4: Simplify right side
    463,711.91x = 202,839,342,195.95
  5. Step 5: Solve for x
    x = 202,839,342,195.95/463,711.91
  6. Step 6: Final answer
    x = 437,425.35

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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.