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Finding the Fourth Proportional to 287,819.60, 431,729.40 and 163,403.60

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Solution

The fourth proportional to 287,819.60, 431,729.40 and 163,403.60 is: 245,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,819.60 : 431,729.40 = 163,403.60 : x
  2. Step 2: Convert to fraction form
    287,819.60/431,729.40 = 163,403.60/x
  3. Step 3: Cross multiply
    287,819.60x = 431,729.40 × 163,403.60
  4. Step 4: Simplify right side
    287,819.60x = 70,546,138,185.84
  5. Step 5: Solve for x
    x = 70,546,138,185.84/287,819.60
  6. Step 6: Final answer
    x = 245,105.40

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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.