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Finding the Fourth Proportional to 408,264.15, 612,420.06 and 123,963.98

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Solution

The fourth proportional to 408,264.15, 612,420.06 and 123,963.98 is: 185,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,264.15 : 612,420.06 = 123,963.98 : x
  2. Step 2: Convert to fraction form
    408,264.15/612,420.06 = 123,963.98/x
  3. Step 3: Cross multiply
    408,264.15x = 612,420.06 × 123,963.98
  4. Step 4: Simplify right side
    408,264.15x = 75,918,025,007.34
  5. Step 5: Solve for x
    x = 75,918,025,007.34/408,264.15
  6. Step 6: Final answer
    x = 185,953.20

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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.