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Finding the Fourth Proportional to 391,584.16, 540,264.75 and 219,478.27

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Solution

The fourth proportional to 391,584.16, 540,264.75 and 219,478.27 is: 302,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,584.16 : 540,264.75 = 219,478.27 : x
  2. Step 2: Convert to fraction form
    391,584.16/540,264.75 = 219,478.27/x
  3. Step 3: Cross multiply
    391,584.16x = 540,264.75 × 219,478.27
  4. Step 4: Simplify right side
    391,584.16x = 118,576,372,671.98
  5. Step 5: Solve for x
    x = 118,576,372,671.98/391,584.16
  6. Step 6: Final answer
    x = 302,811.97

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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.