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Finding the Fourth Proportional to 390,229.07, 584,388.27 and 322,345.79

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Solution

The fourth proportional to 390,229.07, 584,388.27 and 322,345.79 is: 482,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,229.07 : 584,388.27 = 322,345.79 : x
  2. Step 2: Convert to fraction form
    390,229.07/584,388.27 = 322,345.79/x
  3. Step 3: Cross multiply
    390,229.07x = 584,388.27 × 322,345.79
  4. Step 4: Simplify right side
    390,229.07x = 188,375,095,637.94
  5. Step 5: Solve for x
    x = 188,375,095,637.94/390,229.07
  6. Step 6: Final answer
    x = 482,729.53

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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.