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Finding the Fourth Proportional to 457,729.68, 686,784 and 247,119.92

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Solution

The fourth proportional to 457,729.68, 686,784 and 247,119.92 is: 370,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,729.68 : 686,784 = 247,119.92 : x
  2. Step 2: Convert to fraction form
    457,729.68/686,784 = 247,119.92/x
  3. Step 3: Cross multiply
    457,729.68x = 686,784 × 247,119.92
  4. Step 4: Simplify right side
    457,729.68x = 169,718,007,137.28
  5. Step 5: Solve for x
    x = 169,718,007,137.28/457,729.68
  6. Step 6: Final answer
    x = 370,782.18

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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.