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Finding the Fourth Proportional to 305,456.80, 458,300.40 and 147,824.80

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Solution

The fourth proportional to 305,456.80, 458,300.40 and 147,824.80 is: 221,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,456.80 : 458,300.40 = 147,824.80 : x
  2. Step 2: Convert to fraction form
    305,456.80/458,300.40 = 147,824.80/x
  3. Step 3: Cross multiply
    305,456.80x = 458,300.40 × 147,824.80
  4. Step 4: Simplify right side
    305,456.80x = 67,748,164,969.92
  5. Step 5: Solve for x
    x = 67,748,164,969.92/305,456.80
  6. Step 6: Final answer
    x = 221,792.95

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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.