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Finding the Fourth Proportional to 491,181.81, 677,923.76 and 307,505.82

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Solution

The fourth proportional to 491,181.81, 677,923.76 and 307,505.82 is: 424,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,181.81 : 677,923.76 = 307,505.82 : x
  2. Step 2: Convert to fraction form
    491,181.81/677,923.76 = 307,505.82/x
  3. Step 3: Cross multiply
    491,181.81x = 677,923.76 × 307,505.82
  4. Step 4: Simplify right side
    491,181.81x = 208,465,500,178.75
  5. Step 5: Solve for x
    x = 208,465,500,178.75/491,181.81
  6. Step 6: Final answer
    x = 424,416.17

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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.