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Finding the Fourth Proportional to 647,630.72, 964,934.68 and 611,414

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Solution

The fourth proportional to 647,630.72, 964,934.68 and 611,414 is: 910,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,630.72 : 964,934.68 = 611,414 : x
  2. Step 2: Convert to fraction form
    647,630.72/964,934.68 = 611,414/x
  3. Step 3: Cross multiply
    647,630.72x = 964,934.68 × 611,414
  4. Step 4: Simplify right side
    647,630.72x = 589,974,572,437.52
  5. Step 5: Solve for x
    x = 589,974,572,437.52/647,630.72
  6. Step 6: Final answer
    x = 910,973.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.