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Finding the Fourth Proportional to 391,584.66, 540,265.44 and 219,478.77

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Solution

The fourth proportional to 391,584.66, 540,265.44 and 219,478.77 is: 302,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,584.66 : 540,265.44 = 219,478.77 : x
  2. Step 2: Convert to fraction form
    391,584.66/540,265.44 = 219,478.77/x
  3. Step 3: Cross multiply
    391,584.66x = 540,265.44 × 219,478.77
  4. Step 4: Simplify right side
    391,584.66x = 118,576,794,244.71
  5. Step 5: Solve for x
    x = 118,576,794,244.71/391,584.66
  6. Step 6: Final answer
    x = 302,812.66

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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.