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Finding the Fourth Proportional to 408,656.80, 612,985.20 and 295,807.60

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Solution

The fourth proportional to 408,656.80, 612,985.20 and 295,807.60 is: 443,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,656.80 : 612,985.20 = 295,807.60 : x
  2. Step 2: Convert to fraction form
    408,656.80/612,985.20 = 295,807.60/x
  3. Step 3: Cross multiply
    408,656.80x = 612,985.20 × 295,807.60
  4. Step 4: Simplify right side
    408,656.80x = 181,325,680,847.52
  5. Step 5: Solve for x
    x = 181,325,680,847.52/408,656.80
  6. Step 6: Final answer
    x = 443,711.40

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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.