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Finding the Fourth Proportional to 289,408.80, 433,918.80 and 154,495.20

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Solution

The fourth proportional to 289,408.80, 433,918.80 and 154,495.20 is: 231,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,408.80 : 433,918.80 = 154,495.20 : x
  2. Step 2: Convert to fraction form
    289,408.80/433,918.80 = 154,495.20/x
  3. Step 3: Cross multiply
    289,408.80x = 433,918.80 × 154,495.20
  4. Step 4: Simplify right side
    289,408.80x = 67,038,371,789.76
  5. Step 5: Solve for x
    x = 67,038,371,789.76/289,408.80
  6. Step 6: Final answer
    x = 231,639.02

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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.