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Finding the Fourth Proportional to 511,841.60, 767,762.40 and 137,864.60

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Solution

The fourth proportional to 511,841.60, 767,762.40 and 137,864.60 is: 206,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,841.60 : 767,762.40 = 137,864.60 : x
  2. Step 2: Convert to fraction form
    511,841.60/767,762.40 = 137,864.60/x
  3. Step 3: Cross multiply
    511,841.60x = 767,762.40 × 137,864.60
  4. Step 4: Simplify right side
    511,841.60x = 105,847,256,171.04
  5. Step 5: Solve for x
    x = 105,847,256,171.04/511,841.60
  6. Step 6: Final answer
    x = 206,796.90

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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.