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Finding the Fourth Proportional to 398,944.63, 550,592 and 291,460.87

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Solution

The fourth proportional to 398,944.63, 550,592 and 291,460.87 is: 402,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,944.63 : 550,592 = 291,460.87 : x
  2. Step 2: Convert to fraction form
    398,944.63/550,592 = 291,460.87/x
  3. Step 3: Cross multiply
    398,944.63x = 550,592 × 291,460.87
  4. Step 4: Simplify right side
    398,944.63x = 160,476,023,335.04
  5. Step 5: Solve for x
    x = 160,476,023,335.04/398,944.63
  6. Step 6: Final answer
    x = 402,251.37

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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.