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Finding the Fourth Proportional to 408,729.60, 612,948.60 and 168,742.80

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Solution

The fourth proportional to 408,729.60, 612,948.60 and 168,742.80 is: 253,054.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,729.60 : 612,948.60 = 168,742.80 : x
  2. Step 2: Convert to fraction form
    408,729.60/612,948.60 = 168,742.80/x
  3. Step 3: Cross multiply
    408,729.60x = 612,948.60 × 168,742.80
  4. Step 4: Simplify right side
    408,729.60x = 103,430,663,020.08
  5. Step 5: Solve for x
    x = 103,430,663,020.08/408,729.60
  6. Step 6: Final answer
    x = 253,054.01

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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.