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Finding the Fourth Proportional to 291,947.80, 438,036.90 and 114,424.60

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Solution

The fourth proportional to 291,947.80, 438,036.90 and 114,424.60 is: 171,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,947.80 : 438,036.90 = 114,424.60 : x
  2. Step 2: Convert to fraction form
    291,947.80/438,036.90 = 114,424.60/x
  3. Step 3: Cross multiply
    291,947.80x = 438,036.90 × 114,424.60
  4. Step 4: Simplify right side
    291,947.80x = 50,122,197,067.74
  5. Step 5: Solve for x
    x = 50,122,197,067.74/291,947.80
  6. Step 6: Final answer
    x = 171,682.05

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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.