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Finding the Fourth Proportional to 500,203.13, 750,399.51 and 200,707.31

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Solution

The fourth proportional to 500,203.13, 750,399.51 and 200,707.31 is: 301,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,203.13 : 750,399.51 = 200,707.31 : x
  2. Step 2: Convert to fraction form
    500,203.13/750,399.51 = 200,707.31/x
  3. Step 3: Cross multiply
    500,203.13x = 750,399.51 × 200,707.31
  4. Step 4: Simplify right side
    500,203.13x = 150,610,663,325.42
  5. Step 5: Solve for x
    x = 150,610,663,325.42/500,203.13
  6. Step 6: Final answer
    x = 301,099.01

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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.