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Finding the Fourth Proportional to 408,075.20, 612,112.80 and 127,678.40

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Solution

The fourth proportional to 408,075.20, 612,112.80 and 127,678.40 is: 191,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,075.20 : 612,112.80 = 127,678.40 : x
  2. Step 2: Convert to fraction form
    408,075.20/612,112.80 = 127,678.40/x
  3. Step 3: Cross multiply
    408,075.20x = 612,112.80 × 127,678.40
  4. Step 4: Simplify right side
    408,075.20x = 78,153,582,923.52
  5. Step 5: Solve for x
    x = 78,153,582,923.52/408,075.20
  6. Step 6: Final answer
    x = 191,517.60

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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.