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Finding the Fourth Proportional to 380,972.61, 571,458.92 and 128,231.94

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Solution

The fourth proportional to 380,972.61, 571,458.92 and 128,231.94 is: 192,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,972.61 : 571,458.92 = 128,231.94 : x
  2. Step 2: Convert to fraction form
    380,972.61/571,458.92 = 128,231.94/x
  3. Step 3: Cross multiply
    380,972.61x = 571,458.92 × 128,231.94
  4. Step 4: Simplify right side
    380,972.61x = 73,279,283,703.99
  5. Step 5: Solve for x
    x = 73,279,283,703.99/380,972.61
  6. Step 6: Final answer
    x = 192,347.91

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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.