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Finding the Fourth Proportional to 287,712.90, 431,569.35 and 234,568.80

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Solution

The fourth proportional to 287,712.90, 431,569.35 and 234,568.80 is: 351,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712.90 : 431,569.35 = 234,568.80 : x
  2. Step 2: Convert to fraction form
    287,712.90/431,569.35 = 234,568.80/x
  3. Step 3: Cross multiply
    287,712.90x = 431,569.35 × 234,568.80
  4. Step 4: Simplify right side
    287,712.90x = 101,232,704,546.28
  5. Step 5: Solve for x
    x = 101,232,704,546.28/287,712.90
  6. Step 6: Final answer
    x = 351,853.20

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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.