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Finding the Fourth Proportional to 265,978.46, 399,084.66 and 139,589

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Solution

The fourth proportional to 265,978.46, 399,084.66 and 139,589 is: 209,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,978.46 : 399,084.66 = 139,589 : x
  2. Step 2: Convert to fraction form
    265,978.46/399,084.66 = 139,589/x
  3. Step 3: Cross multiply
    265,978.46x = 399,084.66 × 139,589
  4. Step 4: Simplify right side
    265,978.46x = 55,707,828,604.74
  5. Step 5: Solve for x
    x = 55,707,828,604.74/265,978.46
  6. Step 6: Final answer
    x = 209,444.89

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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.