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Finding the Fourth Proportional to 265,589.74, 398,502.38 and 139,199.97

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Solution

The fourth proportional to 265,589.74, 398,502.38 and 139,199.97 is: 208,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,589.74 : 398,502.38 = 139,199.97 : x
  2. Step 2: Convert to fraction form
    265,589.74/398,502.38 = 139,199.97/x
  3. Step 3: Cross multiply
    265,589.74x = 398,502.38 × 139,199.97
  4. Step 4: Simplify right side
    265,589.74x = 55,471,518,941.74
  5. Step 5: Solve for x
    x = 55,471,518,941.74/265,589.74
  6. Step 6: Final answer
    x = 208,861.68

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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.