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Finding the Fourth Proportional to 243,223.86, 335,654.38 and 152,583.65

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Solution

The fourth proportional to 243,223.86, 335,654.38 and 152,583.65 is: 210,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,223.86 : 335,654.38 = 152,583.65 : x
  2. Step 2: Convert to fraction form
    243,223.86/335,654.38 = 152,583.65/x
  3. Step 3: Cross multiply
    243,223.86x = 335,654.38 × 152,583.65
  4. Step 4: Simplify right side
    243,223.86x = 51,215,370,210.05
  5. Step 5: Solve for x
    x = 51,215,370,210.05/243,223.86
  6. Step 6: Final answer
    x = 210,568.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.