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Finding the Fourth Proportional to 659,141.82, 909,712.77 and 417,446.87

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Solution

The fourth proportional to 659,141.82, 909,712.77 and 417,446.87 is: 576,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,141.82 : 909,712.77 = 417,446.87 : x
  2. Step 2: Convert to fraction form
    659,141.82/909,712.77 = 417,446.87/x
  3. Step 3: Cross multiply
    659,141.82x = 909,712.77 × 417,446.87
  4. Step 4: Simplify right side
    659,141.82x = 379,756,743,886.97
  5. Step 5: Solve for x
    x = 379,756,743,886.97/659,141.82
  6. Step 6: Final answer
    x = 576,138.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.