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Finding the Fourth Proportional to 288,445.34, 432,822.94 and 120,081.89

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Solution

The fourth proportional to 288,445.34, 432,822.94 and 120,081.89 is: 180,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,445.34 : 432,822.94 = 120,081.89 : x
  2. Step 2: Convert to fraction form
    288,445.34/432,822.94 = 120,081.89/x
  3. Step 3: Cross multiply
    288,445.34x = 432,822.94 × 120,081.89
  4. Step 4: Simplify right side
    288,445.34x = 51,974,197,452.41
  5. Step 5: Solve for x
    x = 51,974,197,452.41/288,445.34
  6. Step 6: Final answer
    x = 180,187.33

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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.