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Finding the Fourth Proportional to 393,960.64, 542,717.40 and 313,362.40

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Solution

The fourth proportional to 393,960.64, 542,717.40 and 313,362.40 is: 431,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,960.64 : 542,717.40 = 313,362.40 : x
  2. Step 2: Convert to fraction form
    393,960.64/542,717.40 = 313,362.40/x
  3. Step 3: Cross multiply
    393,960.64x = 542,717.40 × 313,362.40
  4. Step 4: Simplify right side
    393,960.64x = 170,067,226,985.76
  5. Step 5: Solve for x
    x = 170,067,226,985.76/393,960.64
  6. Step 6: Final answer
    x = 431,685.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.