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Finding the Fourth Proportional to 247,209.78, 369,799.47 and 197,387.16

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Solution

The fourth proportional to 247,209.78, 369,799.47 and 197,387.16 is: 295,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,209.78 : 369,799.47 = 197,387.16 : x
  2. Step 2: Convert to fraction form
    247,209.78/369,799.47 = 197,387.16/x
  3. Step 3: Cross multiply
    247,209.78x = 369,799.47 × 197,387.16
  4. Step 4: Simplify right side
    247,209.78x = 72,993,667,152.81
  5. Step 5: Solve for x
    x = 72,993,667,152.81/247,209.78
  6. Step 6: Final answer
    x = 295,270.14

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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.