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Finding the Fourth Proportional to 338,656.20, 508,200.30 and 161,363.40

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Solution

The fourth proportional to 338,656.20, 508,200.30 and 161,363.40 is: 242,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,656.20 : 508,200.30 = 161,363.40 : x
  2. Step 2: Convert to fraction form
    338,656.20/508,200.30 = 161,363.40/x
  3. Step 3: Cross multiply
    338,656.20x = 508,200.30 × 161,363.40
  4. Step 4: Simplify right side
    338,656.20x = 82,004,928,289.02
  5. Step 5: Solve for x
    x = 82,004,928,289.02/338,656.20
  6. Step 6: Final answer
    x = 242,148.02

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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.