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Finding the Fourth Proportional to 259,753.49, 358,456.31 and 145,033.91

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Solution

The fourth proportional to 259,753.49, 358,456.31 and 145,033.91 is: 200,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,753.49 : 358,456.31 = 145,033.91 : x
  2. Step 2: Convert to fraction form
    259,753.49/358,456.31 = 145,033.91/x
  3. Step 3: Cross multiply
    259,753.49x = 358,456.31 × 145,033.91
  4. Step 4: Simplify right side
    259,753.49x = 51,988,319,478.30
  5. Step 5: Solve for x
    x = 51,988,319,478.30/259,753.49
  6. Step 6: Final answer
    x = 200,144.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.