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Finding the Fourth Proportional to 245,547.60, 368,321.40 and 206,149.20

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Solution

The fourth proportional to 245,547.60, 368,321.40 and 206,149.20 is: 309,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,547.60 : 368,321.40 = 206,149.20 : x
  2. Step 2: Convert to fraction form
    245,547.60/368,321.40 = 206,149.20/x
  3. Step 3: Cross multiply
    245,547.60x = 368,321.40 × 206,149.20
  4. Step 4: Simplify right side
    245,547.60x = 75,929,161,952.88
  5. Step 5: Solve for x
    x = 75,929,161,952.88/245,547.60
  6. Step 6: Final answer
    x = 309,223.80

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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.