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Finding the Fourth Proportional to 263,575.79, 363,734.81 and 142,717.14

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Solution

The fourth proportional to 263,575.79, 363,734.81 and 142,717.14 is: 196,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,575.79 : 363,734.81 = 142,717.14 : x
  2. Step 2: Convert to fraction form
    263,575.79/363,734.81 = 142,717.14/x
  3. Step 3: Cross multiply
    263,575.79x = 363,734.81 × 142,717.14
  4. Step 4: Simplify right side
    263,575.79x = 51,911,191,088.06
  5. Step 5: Solve for x
    x = 51,911,191,088.06/263,575.79
  6. Step 6: Final answer
    x = 196,949.77

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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.