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Finding the Fourth Proportional to 289,640.36, 433,894.94 and 137,621.10

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Solution

The fourth proportional to 289,640.36, 433,894.94 and 137,621.10 is: 206,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,640.36 : 433,894.94 = 137,621.10 : x
  2. Step 2: Convert to fraction form
    289,640.36/433,894.94 = 137,621.10/x
  3. Step 3: Cross multiply
    289,640.36x = 433,894.94 × 137,621.10
  4. Step 4: Simplify right side
    289,640.36x = 59,713,098,927.23
  5. Step 5: Solve for x
    x = 59,713,098,927.23/289,640.36
  6. Step 6: Final answer
    x = 206,162.91

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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.