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Finding the Fourth Proportional to 449,019.25, 619,490.23 and 287,963.10

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Solution

The fourth proportional to 449,019.25, 619,490.23 and 287,963.10 is: 397,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,019.25 : 619,490.23 = 287,963.10 : x
  2. Step 2: Convert to fraction form
    449,019.25/619,490.23 = 287,963.10/x
  3. Step 3: Cross multiply
    449,019.25x = 619,490.23 × 287,963.10
  4. Step 4: Simplify right side
    449,019.25x = 178,390,326,330.61
  5. Step 5: Solve for x
    x = 178,390,326,330.61/449,019.25
  6. Step 6: Final answer
    x = 397,288.82

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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.