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Finding the Fourth Proportional to 242,782.94, 335,040.67 and 135,350.82

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Solution

The fourth proportional to 242,782.94, 335,040.67 and 135,350.82 is: 186,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,782.94 : 335,040.67 = 135,350.82 : x
  2. Step 2: Convert to fraction form
    242,782.94/335,040.67 = 135,350.82/x
  3. Step 3: Cross multiply
    242,782.94x = 335,040.67 × 135,350.82
  4. Step 4: Simplify right side
    242,782.94x = 45,348,029,417.85
  5. Step 5: Solve for x
    x = 45,348,029,417.85/242,782.94
  6. Step 6: Final answer
    x = 186,784.25

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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.