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Finding the Fourth Proportional to 308,030.80, 462,046.20 and 274,205.20

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Solution

The fourth proportional to 308,030.80, 462,046.20 and 274,205.20 is: 411,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,030.80 : 462,046.20 = 274,205.20 : x
  2. Step 2: Convert to fraction form
    308,030.80/462,046.20 = 274,205.20/x
  3. Step 3: Cross multiply
    308,030.80x = 462,046.20 × 274,205.20
  4. Step 4: Simplify right side
    308,030.80x = 126,695,470,680.24
  5. Step 5: Solve for x
    x = 126,695,470,680.24/308,030.80
  6. Step 6: Final answer
    x = 411,307.80

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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.