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Finding the Fourth Proportional to 287,393.46, 396,634.15 and 158,345.18

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Solution

The fourth proportional to 287,393.46, 396,634.15 and 158,345.18 is: 218,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,393.46 : 396,634.15 = 158,345.18 : x
  2. Step 2: Convert to fraction form
    287,393.46/396,634.15 = 158,345.18/x
  3. Step 3: Cross multiply
    287,393.46x = 396,634.15 × 158,345.18
  4. Step 4: Simplify right side
    287,393.46x = 62,805,105,875.90
  5. Step 5: Solve for x
    x = 62,805,105,875.90/287,393.46
  6. Step 6: Final answer
    x = 218,533.53

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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.