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Finding the Fourth Proportional to 348,304.50, 480,705.57 and 205,077.78

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Solution

The fourth proportional to 348,304.50, 480,705.57 and 205,077.78 is: 283,034.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,304.50 : 480,705.57 = 205,077.78 : x
  2. Step 2: Convert to fraction form
    348,304.50/480,705.57 = 205,077.78/x
  3. Step 3: Cross multiply
    348,304.50x = 480,705.57 × 205,077.78
  4. Step 4: Simplify right side
    348,304.50x = 98,582,031,129.23
  5. Step 5: Solve for x
    x = 98,582,031,129.23/348,304.50
  6. Step 6: Final answer
    x = 283,034.04

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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.