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Finding the Fourth Proportional to 282,648.84, 390,207.06 and 217,976.64

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Solution

The fourth proportional to 282,648.84, 390,207.06 and 217,976.64 is: 300,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,648.84 : 390,207.06 = 217,976.64 : x
  2. Step 2: Convert to fraction form
    282,648.84/390,207.06 = 217,976.64/x
  3. Step 3: Cross multiply
    282,648.84x = 390,207.06 × 217,976.64
  4. Step 4: Simplify right side
    282,648.84x = 85,056,023,843.08
  5. Step 5: Solve for x
    x = 85,056,023,843.08/282,648.84
  6. Step 6: Final answer
    x = 300,924.72

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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.