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Finding the Fourth Proportional to 280,442.66, 420,752.50 and 213,296.34

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Solution

The fourth proportional to 280,442.66, 420,752.50 and 213,296.34 is: 320,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,442.66 : 420,752.50 = 213,296.34 : x
  2. Step 2: Convert to fraction form
    280,442.66/420,752.50 = 213,296.34/x
  3. Step 3: Cross multiply
    280,442.66x = 420,752.50 × 213,296.34
  4. Step 4: Simplify right side
    280,442.66x = 89,744,968,295.85
  5. Step 5: Solve for x
    x = 89,744,968,295.85/280,442.66
  6. Step 6: Final answer
    x = 320,011.83

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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.