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Finding the Fourth Proportional to 402,745.91, 555,778.68 and 218,978.67

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Solution

The fourth proportional to 402,745.91, 555,778.68 and 218,978.67 is: 302,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,745.91 : 555,778.68 = 218,978.67 : x
  2. Step 2: Convert to fraction form
    402,745.91/555,778.68 = 218,978.67/x
  3. Step 3: Cross multiply
    402,745.91x = 555,778.68 × 218,978.67
  4. Step 4: Simplify right side
    402,745.91x = 121,703,676,160.76
  5. Step 5: Solve for x
    x = 121,703,676,160.76/402,745.91
  6. Step 6: Final answer
    x = 302,184.76

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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.