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Finding the Fourth Proportional to 882,360, 1,323,540 and 217,512

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Solution

The fourth proportional to 882,360, 1,323,540 and 217,512 is: 326,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,360 : 1,323,540 = 217,512 : x
  2. Step 2: Convert to fraction form
    882,360/1,323,540 = 217,512/x
  3. Step 3: Cross multiply
    882,360x = 1,323,540 × 217,512
  4. Step 4: Simplify right side
    882,360x = 287,885,832,480
  5. Step 5: Solve for x
    x = 287,885,832,480/882,360
  6. Step 6: Final answer
    x = 326,268

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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.