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Finding the Fourth Proportional to 345,172.16, 517,959.48 and 145,480.16

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Solution

The fourth proportional to 345,172.16, 517,959.48 and 145,480.16 is: 218,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,172.16 : 517,959.48 = 145,480.16 : x
  2. Step 2: Convert to fraction form
    345,172.16/517,959.48 = 145,480.16/x
  3. Step 3: Cross multiply
    345,172.16x = 517,959.48 × 145,480.16
  4. Step 4: Simplify right side
    345,172.16x = 75,352,828,023.92
  5. Step 5: Solve for x
    x = 75,352,828,023.92/345,172.16
  6. Step 6: Final answer
    x = 218,305.06

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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.