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Finding the Fourth Proportional to 243,947.20, 365,920.80 and 202,475.20

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Solution

The fourth proportional to 243,947.20, 365,920.80 and 202,475.20 is: 303,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,947.20 : 365,920.80 = 202,475.20 : x
  2. Step 2: Convert to fraction form
    243,947.20/365,920.80 = 202,475.20/x
  3. Step 3: Cross multiply
    243,947.20x = 365,920.80 × 202,475.20
  4. Step 4: Simplify right side
    243,947.20x = 74,089,887,164.16
  5. Step 5: Solve for x
    x = 74,089,887,164.16/243,947.20
  6. Step 6: Final answer
    x = 303,712.80

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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.