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Finding the Fourth Proportional to 381,749.13, 572,443.83 and 141,696.72

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Solution

The fourth proportional to 381,749.13, 572,443.83 and 141,696.72 is: 212,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,749.13 : 572,443.83 = 141,696.72 : x
  2. Step 2: Convert to fraction form
    381,749.13/572,443.83 = 141,696.72/x
  3. Step 3: Cross multiply
    381,749.13x = 572,443.83 × 141,696.72
  4. Step 4: Simplify right side
    381,749.13x = 81,113,413,095.24
  5. Step 5: Solve for x
    x = 81,113,413,095.24/381,749.13
  6. Step 6: Final answer
    x = 212,478.32

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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.