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Finding the Fourth Proportional to 402,642.14, 555,624.78 and 221,319.18

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Solution

The fourth proportional to 402,642.14, 555,624.78 and 221,319.18 is: 305,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,642.14 : 555,624.78 = 221,319.18 : x
  2. Step 2: Convert to fraction form
    402,642.14/555,624.78 = 221,319.18/x
  3. Step 3: Cross multiply
    402,642.14x = 555,624.78 × 221,319.18
  4. Step 4: Simplify right side
    402,642.14x = 122,970,420,697.28
  5. Step 5: Solve for x
    x = 122,970,420,697.28/402,642.14
  6. Step 6: Final answer
    x = 305,408.72

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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.