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Finding the Fourth Proportional to 287,839.60, 431,759.40 and 163,423.60

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Solution

The fourth proportional to 287,839.60, 431,759.40 and 163,423.60 is: 245,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,839.60 : 431,759.40 = 163,423.60 : x
  2. Step 2: Convert to fraction form
    287,839.60/431,759.40 = 163,423.60/x
  3. Step 3: Cross multiply
    287,839.60x = 431,759.40 × 163,423.60
  4. Step 4: Simplify right side
    287,839.60x = 70,559,675,481.84
  5. Step 5: Solve for x
    x = 70,559,675,481.84/287,839.60
  6. Step 6: Final answer
    x = 245,135.40

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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.