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Finding the Fourth Proportional to 585,906.14, 808,610.75 and 356,479.72

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Solution

The fourth proportional to 585,906.14, 808,610.75 and 356,479.72 is: 491,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,906.14 : 808,610.75 = 356,479.72 : x
  2. Step 2: Convert to fraction form
    585,906.14/808,610.75 = 356,479.72/x
  3. Step 3: Cross multiply
    585,906.14x = 808,610.75 × 356,479.72
  4. Step 4: Simplify right side
    585,906.14x = 288,253,331,281.86
  5. Step 5: Solve for x
    x = 288,253,331,281.86/585,906.14
  6. Step 6: Final answer
    x = 491,978.68

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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.