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Finding the Fourth Proportional to 421,486.78, 582,306.69 and 353,398.18

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Solution

The fourth proportional to 421,486.78, 582,306.69 and 353,398.18 is: 488,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,486.78 : 582,306.69 = 353,398.18 : x
  2. Step 2: Convert to fraction form
    421,486.78/582,306.69 = 353,398.18/x
  3. Step 3: Cross multiply
    421,486.78x = 582,306.69 × 353,398.18
  4. Step 4: Simplify right side
    421,486.78x = 205,786,124,447.82
  5. Step 5: Solve for x
    x = 205,786,124,447.82/421,486.78
  6. Step 6: Final answer
    x = 488,238.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.