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Finding the Fourth Proportional to 526,276.89, 726,261.64 and 284,558.95

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Solution

The fourth proportional to 526,276.89, 726,261.64 and 284,558.95 is: 392,691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,276.89 : 726,261.64 = 284,558.95 : x
  2. Step 2: Convert to fraction form
    526,276.89/726,261.64 = 284,558.95/x
  3. Step 3: Cross multiply
    526,276.89x = 726,261.64 × 284,558.95
  4. Step 4: Simplify right side
    526,276.89x = 206,664,249,900.11
  5. Step 5: Solve for x
    x = 206,664,249,900.11/526,276.89
  6. Step 6: Final answer
    x = 392,691.10

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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.