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Finding the Fourth Proportional to 432,266.83, 648,400.24 and 221,770.51

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Solution

The fourth proportional to 432,266.83, 648,400.24 and 221,770.51 is: 332,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,266.83 : 648,400.24 = 221,770.51 : x
  2. Step 2: Convert to fraction form
    432,266.83/648,400.24 = 221,770.51/x
  3. Step 3: Cross multiply
    432,266.83x = 648,400.24 × 221,770.51
  4. Step 4: Simplify right side
    432,266.83x = 143,796,050,565.14
  5. Step 5: Solve for x
    x = 143,796,050,565.14/432,266.83
  6. Step 6: Final answer
    x = 332,655.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.