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Finding the Fourth Proportional to 403,509.36, 605,149.22 and 137,263.98

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Solution

The fourth proportional to 403,509.36, 605,149.22 and 137,263.98 is: 205,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,509.36 : 605,149.22 = 137,263.98 : x
  2. Step 2: Convert to fraction form
    403,509.36/605,149.22 = 137,263.98/x
  3. Step 3: Cross multiply
    403,509.36x = 605,149.22 × 137,263.98
  4. Step 4: Simplify right side
    403,509.36x = 83,065,189,744.78
  5. Step 5: Solve for x
    x = 83,065,189,744.78/403,509.36
  6. Step 6: Final answer
    x = 205,856.91

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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.