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Finding the Fourth Proportional to 292,278.70, 438,418.05 and 213,546.70

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Solution

The fourth proportional to 292,278.70, 438,418.05 and 213,546.70 is: 320,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,278.70 : 438,418.05 = 213,546.70 : x
  2. Step 2: Convert to fraction form
    292,278.70/438,418.05 = 213,546.70/x
  3. Step 3: Cross multiply
    292,278.70x = 438,418.05 × 213,546.70
  4. Step 4: Simplify right side
    292,278.70x = 93,622,727,797.94
  5. Step 5: Solve for x
    x = 93,622,727,797.94/292,278.70
  6. Step 6: Final answer
    x = 320,320.05

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1.5x scale

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.