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Finding the Fourth Proportional to 399,821, 597,439.69 and 304,521.80

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Solution

The fourth proportional to 399,821, 597,439.69 and 304,521.80 is: 455,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,821 : 597,439.69 = 304,521.80 : x
  2. Step 2: Convert to fraction form
    399,821/597,439.69 = 304,521.80/x
  3. Step 3: Cross multiply
    399,821x = 597,439.69 × 304,521.80
  4. Step 4: Simplify right side
    399,821x = 181,933,409,790.24
  5. Step 5: Solve for x
    x = 181,933,409,790.24/399,821
  6. Step 6: Final answer
    x = 455,037.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.