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Finding the Fourth Proportional to 408,047.80, 612,071.70 and 248,380.60

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Solution

The fourth proportional to 408,047.80, 612,071.70 and 248,380.60 is: 372,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.80 : 612,071.70 = 248,380.60 : x
  2. Step 2: Convert to fraction form
    408,047.80/612,071.70 = 248,380.60/x
  3. Step 3: Cross multiply
    408,047.80x = 612,071.70 × 248,380.60
  4. Step 4: Simplify right side
    408,047.80x = 152,026,736,089.02
  5. Step 5: Solve for x
    x = 152,026,736,089.02/408,047.80
  6. Step 6: Final answer
    x = 372,570.90

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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.