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Finding the Fourth Proportional to 409,508.57, 614,293.96 and 139,552.81

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Solution

The fourth proportional to 409,508.57, 614,293.96 and 139,552.81 is: 209,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,508.57 : 614,293.96 = 139,552.81 : x
  2. Step 2: Convert to fraction form
    409,508.57/614,293.96 = 139,552.81/x
  3. Step 3: Cross multiply
    409,508.57x = 614,293.96 × 139,552.81
  4. Step 4: Simplify right side
    409,508.57x = 85,726,448,877.45
  5. Step 5: Solve for x
    x = 85,726,448,877.45/409,508.57
  6. Step 6: Final answer
    x = 209,339.81

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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.