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Finding the Fourth Proportional to 500,383.41, 750,490.65 and 140,471.72

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Solution

The fourth proportional to 500,383.41, 750,490.65 and 140,471.72 is: 210,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,383.41 : 750,490.65 = 140,471.72 : x
  2. Step 2: Convert to fraction form
    500,383.41/750,490.65 = 140,471.72/x
  3. Step 3: Cross multiply
    500,383.41x = 750,490.65 × 140,471.72
  4. Step 4: Simplify right side
    500,383.41x = 105,422,711,511.31
  5. Step 5: Solve for x
    x = 105,422,711,511.31/500,383.41
  6. Step 6: Final answer
    x = 210,683.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.