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Finding the Fourth Proportional to 265,549.86, 398,398.70 and 115,803.41

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Solution

The fourth proportional to 265,549.86, 398,398.70 and 115,803.41 is: 173,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,549.86 : 398,398.70 = 115,803.41 : x
  2. Step 2: Convert to fraction form
    265,549.86/398,398.70 = 115,803.41/x
  3. Step 3: Cross multiply
    265,549.86x = 398,398.70 × 115,803.41
  4. Step 4: Simplify right side
    265,549.86x = 46,135,926,297.08
  5. Step 5: Solve for x
    x = 46,135,926,297.08/265,549.86
  6. Step 6: Final answer
    x = 173,737.34

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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.