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Finding the Fourth Proportional to 288,154.93, 432,288.42 and 110,648.89

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Solution

The fourth proportional to 288,154.93, 432,288.42 and 110,648.89 is: 165,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,154.93 : 432,288.42 = 110,648.89 : x
  2. Step 2: Convert to fraction form
    288,154.93/432,288.42 = 110,648.89/x
  3. Step 3: Cross multiply
    288,154.93x = 432,288.42 × 110,648.89
  4. Step 4: Simplify right side
    288,154.93x = 47,832,233,832.85
  5. Step 5: Solve for x
    x = 47,832,233,832.85/288,154.93
  6. Step 6: Final answer
    x = 165,994.85

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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.