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Finding the Fourth Proportional to 435,414.96, 651,722.76 and 326,862

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Solution

The fourth proportional to 435,414.96, 651,722.76 and 326,862 is: 489,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,414.96 : 651,722.76 = 326,862 : x
  2. Step 2: Convert to fraction form
    435,414.96/651,722.76 = 326,862/x
  3. Step 3: Cross multiply
    435,414.96x = 651,722.76 × 326,862
  4. Step 4: Simplify right side
    435,414.96x = 213,023,404,779.12
  5. Step 5: Solve for x
    x = 213,023,404,779.12/435,414.96
  6. Step 6: Final answer
    x = 489,242.27

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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.