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Finding the Fourth Proportional to 393,978.78, 590,981.13 and 127,741.50

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Solution

The fourth proportional to 393,978.78, 590,981.13 and 127,741.50 is: 191,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,978.78 : 590,981.13 = 127,741.50 : x
  2. Step 2: Convert to fraction form
    393,978.78/590,981.13 = 127,741.50/x
  3. Step 3: Cross multiply
    393,978.78x = 590,981.13 × 127,741.50
  4. Step 4: Simplify right side
    393,978.78x = 75,492,816,017.90
  5. Step 5: Solve for x
    x = 75,492,816,017.90/393,978.78
  6. Step 6: Final answer
    x = 191,616.45

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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.