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Finding the Fourth Proportional to 340,842.60, 511,259.10 and 153,853.80

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Solution

The fourth proportional to 340,842.60, 511,259.10 and 153,853.80 is: 230,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,842.60 : 511,259.10 = 153,853.80 : x
  2. Step 2: Convert to fraction form
    340,842.60/511,259.10 = 153,853.80/x
  3. Step 3: Cross multiply
    340,842.60x = 511,259.10 × 153,853.80
  4. Step 4: Simplify right side
    340,842.60x = 78,659,155,319.58
  5. Step 5: Solve for x
    x = 78,659,155,319.58/340,842.60
  6. Step 6: Final answer
    x = 230,778.53

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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.