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Finding the Fourth Proportional to 421,712.71, 581,978.07 and 230,726.09

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Solution

The fourth proportional to 421,712.71, 581,978.07 and 230,726.09 is: 318,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,712.71 : 581,978.07 = 230,726.09 : x
  2. Step 2: Convert to fraction form
    421,712.71/581,978.07 = 230,726.09/x
  3. Step 3: Cross multiply
    421,712.71x = 581,978.07 × 230,726.09
  4. Step 4: Simplify right side
    421,712.71x = 134,277,524,556.85
  5. Step 5: Solve for x
    x = 134,277,524,556.85/421,712.71
  6. Step 6: Final answer
    x = 318,409.95

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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.