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Finding the Fourth Proportional to 390,230.07, 584,389.77 and 322,346.79

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Solution

The fourth proportional to 390,230.07, 584,389.77 and 322,346.79 is: 482,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,230.07 : 584,389.77 = 322,346.79 : x
  2. Step 2: Convert to fraction form
    390,230.07/584,389.77 = 322,346.79/x
  3. Step 3: Cross multiply
    390,230.07x = 584,389.77 × 322,346.79
  4. Step 4: Simplify right side
    390,230.07x = 188,376,166,468.34
  5. Step 5: Solve for x
    x = 188,376,166,468.34/390,230.07
  6. Step 6: Final answer
    x = 482,731.04

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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.