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Finding the Fourth Proportional to 341,417.52, 512,228.76 and 161,640

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Solution

The fourth proportional to 341,417.52, 512,228.76 and 161,640 is: 242,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,417.52 : 512,228.76 = 161,640 : x
  2. Step 2: Convert to fraction form
    341,417.52/512,228.76 = 161,640/x
  3. Step 3: Cross multiply
    341,417.52x = 512,228.76 × 161,640
  4. Step 4: Simplify right side
    341,417.52x = 82,796,656,766.40
  5. Step 5: Solve for x
    x = 82,796,656,766.40/341,417.52
  6. Step 6: Final answer
    x = 242,508.52

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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.