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Finding the Fourth Proportional to 438,804.64, 658,445.10 and 186,227.20

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Solution

The fourth proportional to 438,804.64, 658,445.10 and 186,227.20 is: 279,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,804.64 : 658,445.10 = 186,227.20 : x
  2. Step 2: Convert to fraction form
    438,804.64/658,445.10 = 186,227.20/x
  3. Step 3: Cross multiply
    438,804.64x = 658,445.10 × 186,227.20
  4. Step 4: Simplify right side
    438,804.64x = 122,620,387,326.72
  5. Step 5: Solve for x
    x = 122,620,387,326.72/438,804.64
  6. Step 6: Final answer
    x = 279,441.87

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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.