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Finding the Fourth Proportional to 403,916.10, 605,874.15 and 137,652.90

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Solution

The fourth proportional to 403,916.10, 605,874.15 and 137,652.90 is: 206,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,916.10 : 605,874.15 = 137,652.90 : x
  2. Step 2: Convert to fraction form
    403,916.10/605,874.15 = 137,652.90/x
  3. Step 3: Cross multiply
    403,916.10x = 605,874.15 × 137,652.90
  4. Step 4: Simplify right side
    403,916.10x = 83,400,333,782.54
  5. Step 5: Solve for x
    x = 83,400,333,782.54/403,916.10
  6. Step 6: Final answer
    x = 206,479.35

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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.