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Finding the Fourth Proportional to 638,765.12, 958,235.16 and 217,928

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Solution

The fourth proportional to 638,765.12, 958,235.16 and 217,928 is: 326,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,765.12 : 958,235.16 = 217,928 : x
  2. Step 2: Convert to fraction form
    638,765.12/958,235.16 = 217,928/x
  3. Step 3: Cross multiply
    638,765.12x = 958,235.16 × 217,928
  4. Step 4: Simplify right side
    638,765.12x = 208,826,271,948.48
  5. Step 5: Solve for x
    x = 208,826,271,948.48/638,765.12
  6. Step 6: Final answer
    x = 326,921.85

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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.