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Finding the Fourth Proportional to 288,444.78, 432,667.49 and 75,212.51

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Solution

The fourth proportional to 288,444.78, 432,667.49 and 75,212.51 is: 112,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,444.78 : 432,667.49 = 75,212.51 : x
  2. Step 2: Convert to fraction form
    288,444.78/432,667.49 = 75,212.51/x
  3. Step 3: Cross multiply
    288,444.78x = 432,667.49 × 75,212.51
  4. Step 4: Simplify right side
    288,444.78x = 32,542,005,942.99
  5. Step 5: Solve for x
    x = 32,542,005,942.99/288,444.78
  6. Step 6: Final answer
    x = 112,818.84

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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.