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Finding the Fourth Proportional to 206,875.60, 310,386.30 and 199,585.60

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Solution

The fourth proportional to 206,875.60, 310,386.30 and 199,585.60 is: 299,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,875.60 : 310,386.30 = 199,585.60 : x
  2. Step 2: Convert to fraction form
    206,875.60/310,386.30 = 199,585.60/x
  3. Step 3: Cross multiply
    206,875.60x = 310,386.30 × 199,585.60
  4. Step 4: Simplify right side
    206,875.60x = 61,948,635,917.28
  5. Step 5: Solve for x
    x = 61,948,635,917.28/206,875.60
  6. Step 6: Final answer
    x = 299,448.73

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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.