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Finding the Fourth Proportional to 391,901.50, 540,828.39 and 213,053.50

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Solution

The fourth proportional to 391,901.50, 540,828.39 and 213,053.50 is: 294,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,901.50 : 540,828.39 = 213,053.50 : x
  2. Step 2: Convert to fraction form
    391,901.50/540,828.39 = 213,053.50/x
  3. Step 3: Cross multiply
    391,901.50x = 540,828.39 × 213,053.50
  4. Step 4: Simplify right side
    391,901.50x = 115,225,381,388.87
  5. Step 5: Solve for x
    x = 115,225,381,388.87/391,901.50
  6. Step 6: Final answer
    x = 294,016.18

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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.