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Finding the Fourth Proportional to 243,020.64, 362,772.87 and 209,953.20

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Solution

The fourth proportional to 243,020.64, 362,772.87 and 209,953.20 is: 313,410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,020.64 : 362,772.87 = 209,953.20 : x
  2. Step 2: Convert to fraction form
    243,020.64/362,772.87 = 209,953.20/x
  3. Step 3: Cross multiply
    243,020.64x = 362,772.87 × 209,953.20
  4. Step 4: Simplify right side
    243,020.64x = 76,165,324,929.68
  5. Step 5: Solve for x
    x = 76,165,324,929.68/243,020.64
  6. Step 6: Final answer
    x = 313,410.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.