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Finding the Fourth Proportional to 263,405.86, 363,500.99 and 142,547.11

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Solution

The fourth proportional to 263,405.86, 363,500.99 and 142,547.11 is: 196,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,405.86 : 363,500.99 = 142,547.11 : x
  2. Step 2: Convert to fraction form
    263,405.86/363,500.99 = 142,547.11/x
  3. Step 3: Cross multiply
    263,405.86x = 363,500.99 × 142,547.11
  4. Step 4: Simplify right side
    263,405.86x = 51,816,015,606.64
  5. Step 5: Solve for x
    x = 51,816,015,606.64/263,405.86
  6. Step 6: Final answer
    x = 196,715.50

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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.