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Finding the Fourth Proportional to 288,590.50, 432,873.44 and 281,832.66

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Solution

The fourth proportional to 288,590.50, 432,873.44 and 281,832.66 is: 422,736.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,590.50 : 432,873.44 = 281,832.66 : x
  2. Step 2: Convert to fraction form
    288,590.50/432,873.44 = 281,832.66/x
  3. Step 3: Cross multiply
    288,590.50x = 432,873.44 × 281,832.66
  4. Step 4: Simplify right side
    288,590.50x = 121,997,873,038.55
  5. Step 5: Solve for x
    x = 121,997,873,038.55/288,590.50
  6. Step 6: Final answer
    x = 422,736.97

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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.