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Finding the Fourth Proportional to 819,957.16, 1,131,427.74 and 457,338.52

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Solution

The fourth proportional to 819,957.16, 1,131,427.74 and 457,338.52 is: 631,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,957.16 : 1,131,427.74 = 457,338.52 : x
  2. Step 2: Convert to fraction form
    819,957.16/1,131,427.74 = 457,338.52/x
  3. Step 3: Cross multiply
    819,957.16x = 1,131,427.74 × 457,338.52
  4. Step 4: Simplify right side
    819,957.16x = 517,445,488,098.55
  5. Step 5: Solve for x
    x = 517,445,488,098.55/819,957.16
  6. Step 6: Final answer
    x = 631,064.05

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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.