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Finding the Fourth Proportional to 263,294.52, 363,345.64 and 142,435.77

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Solution

The fourth proportional to 263,294.52, 363,345.64 and 142,435.77 is: 196,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,294.52 : 363,345.64 = 142,435.77 : x
  2. Step 2: Convert to fraction form
    263,294.52/363,345.64 = 142,435.77/x
  3. Step 3: Cross multiply
    263,294.52x = 363,345.64 × 142,435.77
  4. Step 4: Simplify right side
    263,294.52x = 51,753,415,653.45
  5. Step 5: Solve for x
    x = 51,753,415,653.45/263,294.52
  6. Step 6: Final answer
    x = 196,560.93

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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.