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Finding the Fourth Proportional to 403,320.40, 605,038.20 and 137,093.20

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Solution

The fourth proportional to 403,320.40, 605,038.20 and 137,093.20 is: 205,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,320.40 : 605,038.20 = 137,093.20 : x
  2. Step 2: Convert to fraction form
    403,320.40/605,038.20 = 137,093.20/x
  3. Step 3: Cross multiply
    403,320.40x = 605,038.20 × 137,093.20
  4. Step 4: Simplify right side
    403,320.40x = 82,946,622,960.24
  5. Step 5: Solve for x
    x = 82,946,622,960.24/403,320.40
  6. Step 6: Final answer
    x = 205,659.38

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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.