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Finding the Fourth Proportional to 399,290.87, 597,981.46 and 230,298.88

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Solution

The fourth proportional to 399,290.87, 597,981.46 and 230,298.88 is: 344,897.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,290.87 : 597,981.46 = 230,298.88 : x
  2. Step 2: Convert to fraction form
    399,290.87/597,981.46 = 230,298.88/x
  3. Step 3: Cross multiply
    399,290.87x = 597,981.46 × 230,298.88
  4. Step 4: Simplify right side
    399,290.87x = 137,714,456,357.36
  5. Step 5: Solve for x
    x = 137,714,456,357.36/399,290.87
  6. Step 6: Final answer
    x = 344,897.59

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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.