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Finding the Fourth Proportional to 287,433.06, 396,658 and 156,610.10

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Solution

The fourth proportional to 287,433.06, 396,658 and 156,610.10 is: 216,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,433.06 : 396,658 = 156,610.10 : x
  2. Step 2: Convert to fraction form
    287,433.06/396,658 = 156,610.10/x
  3. Step 3: Cross multiply
    287,433.06x = 396,658 × 156,610.10
  4. Step 4: Simplify right side
    287,433.06x = 62,120,647,062.51
  5. Step 5: Solve for x
    x = 62,120,647,062.51/287,433.06
  6. Step 6: Final answer
    x = 216,122.14

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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.