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Finding the Fourth Proportional to 220,541.90, 304,235.60 and 144,105.71

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Solution

The fourth proportional to 220,541.90, 304,235.60 and 144,105.71 is: 198,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,541.90 : 304,235.60 = 144,105.71 : x
  2. Step 2: Convert to fraction form
    220,541.90/304,235.60 = 144,105.71/x
  3. Step 3: Cross multiply
    220,541.90x = 304,235.60 × 144,105.71
  4. Step 4: Simplify right side
    220,541.90x = 43,842,084,903.57
  5. Step 5: Solve for x
    x = 43,842,084,903.57/220,541.90
  6. Step 6: Final answer
    x = 198,792.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.