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Finding the Fourth Proportional to 647,630.80, 971,023.80 and 581,275.60

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Solution

The fourth proportional to 647,630.80, 971,023.80 and 581,275.60 is: 871,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,630.80 : 971,023.80 = 581,275.60 : x
  2. Step 2: Convert to fraction form
    647,630.80/971,023.80 = 581,275.60/x
  3. Step 3: Cross multiply
    647,630.80x = 971,023.80 × 581,275.60
  4. Step 4: Simplify right side
    647,630.80x = 564,432,441,959.28
  5. Step 5: Solve for x
    x = 564,432,441,959.28/647,630.80
  6. Step 6: Final answer
    x = 871,534.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.