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Finding the Fourth Proportional to 288,220.52, 432,594.45 and 146,163.85

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Solution

The fourth proportional to 288,220.52, 432,594.45 and 146,163.85 is: 219,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,220.52 : 432,594.45 = 146,163.85 : x
  2. Step 2: Convert to fraction form
    288,220.52/432,594.45 = 146,163.85/x
  3. Step 3: Cross multiply
    288,220.52x = 432,594.45 × 146,163.85
  4. Step 4: Simplify right side
    288,220.52x = 63,229,669,219.15
  5. Step 5: Solve for x
    x = 63,229,669,219.15/288,220.52
  6. Step 6: Final answer
    x = 219,379.48

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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.