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Finding the Fourth Proportional to 274,205.20, 411,307.80 and 163,613.20

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Solution

The fourth proportional to 274,205.20, 411,307.80 and 163,613.20 is: 245,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,205.20 : 411,307.80 = 163,613.20 : x
  2. Step 2: Convert to fraction form
    274,205.20/411,307.80 = 163,613.20/x
  3. Step 3: Cross multiply
    274,205.20x = 411,307.80 × 163,613.20
  4. Step 4: Simplify right side
    274,205.20x = 67,295,385,342.96
  5. Step 5: Solve for x
    x = 67,295,385,342.96/274,205.20
  6. Step 6: Final answer
    x = 245,419.80

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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.