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Finding the Fourth Proportional to 485,143.72, 727,410.18 and 148,072.24

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Solution

The fourth proportional to 485,143.72, 727,410.18 and 148,072.24 is: 222,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,143.72 : 727,410.18 = 148,072.24 : x
  2. Step 2: Convert to fraction form
    485,143.72/727,410.18 = 148,072.24/x
  3. Step 3: Cross multiply
    485,143.72x = 727,410.18 × 148,072.24
  4. Step 4: Simplify right side
    485,143.72x = 107,709,254,751.40
  5. Step 5: Solve for x
    x = 107,709,254,751.40/485,143.72
  6. Step 6: Final answer
    x = 222,015.15

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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.