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Finding the Fourth Proportional to 275,217.60, 412,729.20 and 97,730.40

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Solution

The fourth proportional to 275,217.60, 412,729.20 and 97,730.40 is: 146,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,217.60 : 412,729.20 = 97,730.40 : x
  2. Step 2: Convert to fraction form
    275,217.60/412,729.20 = 97,730.40/x
  3. Step 3: Cross multiply
    275,217.60x = 412,729.20 × 97,730.40
  4. Step 4: Simplify right side
    275,217.60x = 40,336,189,807.68
  5. Step 5: Solve for x
    x = 40,336,189,807.68/275,217.60
  6. Step 6: Final answer
    x = 146,561.08

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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.