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Finding the Fourth Proportional to 431,603.60, 647,405.40 and 326,627.60

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Solution

The fourth proportional to 431,603.60, 647,405.40 and 326,627.60 is: 489,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,603.60 : 647,405.40 = 326,627.60 : x
  2. Step 2: Convert to fraction form
    431,603.60/647,405.40 = 326,627.60/x
  3. Step 3: Cross multiply
    431,603.60x = 647,405.40 × 326,627.60
  4. Step 4: Simplify right side
    431,603.60x = 211,460,472,029.04
  5. Step 5: Solve for x
    x = 211,460,472,029.04/431,603.60
  6. Step 6: Final answer
    x = 489,941.40

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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.