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Finding the Fourth Proportional to 403,749.77, 605,718.39 and 137,512.58

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Solution

The fourth proportional to 403,749.77, 605,718.39 and 137,512.58 is: 206,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,749.77 : 605,718.39 = 137,512.58 : x
  2. Step 2: Convert to fraction form
    403,749.77/605,718.39 = 137,512.58/x
  3. Step 3: Cross multiply
    403,749.77x = 605,718.39 × 137,512.58
  4. Step 4: Simplify right side
    403,749.77x = 83,293,898,562.35
  5. Step 5: Solve for x
    x = 83,293,898,562.35/403,749.77
  6. Step 6: Final answer
    x = 206,300.80

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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.