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Finding the Fourth Proportional to 265,359.81, 398,039.72 and 78,385.89

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Solution

The fourth proportional to 265,359.81, 398,039.72 and 78,385.89 is: 117,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,359.81 : 398,039.72 = 78,385.89 : x
  2. Step 2: Convert to fraction form
    265,359.81/398,039.72 = 78,385.89/x
  3. Step 3: Cross multiply
    265,359.81x = 398,039.72 × 78,385.89
  4. Step 4: Simplify right side
    265,359.81x = 31,200,697,707.55
  5. Step 5: Solve for x
    x = 31,200,697,707.55/265,359.81
  6. Step 6: Final answer
    x = 117,578.84

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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.