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Finding the Fourth Proportional to 465,957.20, 699,454.20 and 288,664.40

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Solution

The fourth proportional to 465,957.20, 699,454.20 and 288,664.40 is: 433,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,957.20 : 699,454.20 = 288,664.40 : x
  2. Step 2: Convert to fraction form
    465,957.20/699,454.20 = 288,664.40/x
  3. Step 3: Cross multiply
    465,957.20x = 699,454.20 × 288,664.40
  4. Step 4: Simplify right side
    465,957.20x = 201,907,526,970.48
  5. Step 5: Solve for x
    x = 201,907,526,970.48/465,957.20
  6. Step 6: Final answer
    x = 433,317.75

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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.