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Finding the Fourth Proportional to 243,029.80, 335,246.34 and 142,408.36

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Solution

The fourth proportional to 243,029.80, 335,246.34 and 142,408.36 is: 196,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,029.80 : 335,246.34 = 142,408.36 : x
  2. Step 2: Convert to fraction form
    243,029.80/335,246.34 = 142,408.36/x
  3. Step 3: Cross multiply
    243,029.80x = 335,246.34 × 142,408.36
  4. Step 4: Simplify right side
    243,029.80x = 47,741,881,475.40
  5. Step 5: Solve for x
    x = 47,741,881,475.40/243,029.80
  6. Step 6: Final answer
    x = 196,444.56

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1.5x scale

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.