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Finding the Fourth Proportional to 393,977.78, 590,979.63 and 127,740.50

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Solution

The fourth proportional to 393,977.78, 590,979.63 and 127,740.50 is: 191,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,977.78 : 590,979.63 = 127,740.50 : x
  2. Step 2: Convert to fraction form
    393,977.78/590,979.63 = 127,740.50/x
  3. Step 3: Cross multiply
    393,977.78x = 590,979.63 × 127,740.50
  4. Step 4: Simplify right side
    393,977.78x = 75,492,033,426.02
  5. Step 5: Solve for x
    x = 75,492,033,426.02/393,977.78
  6. Step 6: Final answer
    x = 191,614.95

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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.