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Finding the Fourth Proportional to 391,419.98, 540,159.54 and 221,686.91

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Solution

The fourth proportional to 391,419.98, 540,159.54 and 221,686.91 is: 305,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,419.98 : 540,159.54 = 221,686.91 : x
  2. Step 2: Convert to fraction form
    391,419.98/540,159.54 = 221,686.91/x
  3. Step 3: Cross multiply
    391,419.98x = 540,159.54 × 221,686.91
  4. Step 4: Simplify right side
    391,419.98x = 119,746,299,329.62
  5. Step 5: Solve for x
    x = 119,746,299,329.62/391,419.98
  6. Step 6: Final answer
    x = 305,927.92

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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.