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Finding the Fourth Proportional to 516,399.66, 774,301.50 and 200,487.51

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Solution

The fourth proportional to 516,399.66, 774,301.50 and 200,487.51 is: 300,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,399.66 : 774,301.50 = 200,487.51 : x
  2. Step 2: Convert to fraction form
    516,399.66/774,301.50 = 200,487.51/x
  3. Step 3: Cross multiply
    516,399.66x = 774,301.50 × 200,487.51
  4. Step 4: Simplify right side
    516,399.66x = 155,237,779,724.27
  5. Step 5: Solve for x
    x = 155,237,779,724.27/516,399.66
  6. Step 6: Final answer
    x = 300,615.57

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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.