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Finding the Fourth Proportional to 768,195.60, 1,152,293.40 and 207,286.80

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Solution

The fourth proportional to 768,195.60, 1,152,293.40 and 207,286.80 is: 310,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,195.60 : 1,152,293.40 = 207,286.80 : x
  2. Step 2: Convert to fraction form
    768,195.60/1,152,293.40 = 207,286.80/x
  3. Step 3: Cross multiply
    768,195.60x = 1,152,293.40 × 207,286.80
  4. Step 4: Simplify right side
    768,195.60x = 238,855,211,547.12
  5. Step 5: Solve for x
    x = 238,855,211,547.12/768,195.60
  6. Step 6: Final answer
    x = 310,930.20

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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.