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Finding the Fourth Proportional to 287,759.60, 431,639.40 and 228,273.20

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Solution

The fourth proportional to 287,759.60, 431,639.40 and 228,273.20 is: 342,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,759.60 : 431,639.40 = 228,273.20 : x
  2. Step 2: Convert to fraction form
    287,759.60/431,639.40 = 228,273.20/x
  3. Step 3: Cross multiply
    287,759.60x = 431,639.40 × 228,273.20
  4. Step 4: Simplify right side
    287,759.60x = 98,531,707,084.08
  5. Step 5: Solve for x
    x = 98,531,707,084.08/287,759.60
  6. Step 6: Final answer
    x = 342,409.80

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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.