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Finding the Fourth Proportional to 803,840.31, 1,206,343.71 and 647,950.95

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Solution

The fourth proportional to 803,840.31, 1,206,343.71 and 647,950.95 is: 972,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,840.31 : 1,206,343.71 = 647,950.95 : x
  2. Step 2: Convert to fraction form
    803,840.31/1,206,343.71 = 647,950.95/x
  3. Step 3: Cross multiply
    803,840.31x = 1,206,343.71 × 647,950.95
  4. Step 4: Simplify right side
    803,840.31x = 781,651,552,921.02
  5. Step 5: Solve for x
    x = 781,651,552,921.02/803,840.31
  6. Step 6: Final answer
    x = 972,396.56

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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.