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Finding the Fourth Proportional to 408,089.82, 613,095.24 and 385,431.30

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Solution

The fourth proportional to 408,089.82, 613,095.24 and 385,431.30 is: 579,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,089.82 : 613,095.24 = 385,431.30 : x
  2. Step 2: Convert to fraction form
    408,089.82/613,095.24 = 385,431.30/x
  3. Step 3: Cross multiply
    408,089.82x = 613,095.24 × 385,431.30
  4. Step 4: Simplify right side
    408,089.82x = 236,306,095,377.01
  5. Step 5: Solve for x
    x = 236,306,095,377.01/408,089.82
  6. Step 6: Final answer
    x = 579,054.13

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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.