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Finding the Fourth Proportional to 500,331.61, 750,637.70 and 201,022.34

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Solution

The fourth proportional to 500,331.61, 750,637.70 and 201,022.34 is: 301,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,331.61 : 750,637.70 = 201,022.34 : x
  2. Step 2: Convert to fraction form
    500,331.61/750,637.70 = 201,022.34/x
  3. Step 3: Cross multiply
    500,331.61x = 750,637.70 × 201,022.34
  4. Step 4: Simplify right side
    500,331.61x = 150,894,945,941.11
  5. Step 5: Solve for x
    x = 150,894,945,941.11/500,331.61
  6. Step 6: Final answer
    x = 301,589.87

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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.