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Finding the Fourth Proportional to 399,843.12, 599,931.28 and 175,364.75

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Solution

The fourth proportional to 399,843.12, 599,931.28 and 175,364.75 is: 263,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,843.12 : 599,931.28 = 175,364.75 : x
  2. Step 2: Convert to fraction form
    399,843.12/599,931.28 = 175,364.75/x
  3. Step 3: Cross multiply
    399,843.12x = 599,931.28 × 175,364.75
  4. Step 4: Simplify right side
    399,843.12x = 105,206,795,934.72
  5. Step 5: Solve for x
    x = 105,206,795,934.72/399,843.12
  6. Step 6: Final answer
    x = 263,120.19

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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.