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Finding the Fourth Proportional to 389,189.88, 583,603.38 and 202,151.16

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Solution

The fourth proportional to 389,189.88, 583,603.38 and 202,151.16 is: 303,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,189.88 : 583,603.38 = 202,151.16 : x
  2. Step 2: Convert to fraction form
    389,189.88/583,603.38 = 202,151.16/x
  3. Step 3: Cross multiply
    389,189.88x = 583,603.38 × 202,151.16
  4. Step 4: Simplify right side
    389,189.88x = 117,976,100,246.92
  5. Step 5: Solve for x
    x = 117,976,100,246.92/389,189.88
  6. Step 6: Final answer
    x = 303,132.50

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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.