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Finding the Fourth Proportional to 315,006.92, 472,371.74 and 115,275.40

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Solution

The fourth proportional to 315,006.92, 472,371.74 and 115,275.40 is: 172,862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,006.92 : 472,371.74 = 115,275.40 : x
  2. Step 2: Convert to fraction form
    315,006.92/472,371.74 = 115,275.40/x
  3. Step 3: Cross multiply
    315,006.92x = 472,371.74 × 115,275.40
  4. Step 4: Simplify right side
    315,006.92x = 54,452,841,277.20
  5. Step 5: Solve for x
    x = 54,452,841,277.20/315,006.92
  6. Step 6: Final answer
    x = 172,862.37

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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.