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Finding the Fourth Proportional to 289,302.48, 433,647.54 and 131,641.66

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Solution

The fourth proportional to 289,302.48, 433,647.54 and 131,641.66 is: 197,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,302.48 : 433,647.54 = 131,641.66 : x
  2. Step 2: Convert to fraction form
    289,302.48/433,647.54 = 131,641.66/x
  3. Step 3: Cross multiply
    289,302.48x = 433,647.54 × 131,641.66
  4. Step 4: Simplify right side
    289,302.48x = 57,086,082,020.52
  5. Step 5: Solve for x
    x = 57,086,082,020.52/289,302.48
  6. Step 6: Final answer
    x = 197,323.17

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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.