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Finding the Fourth Proportional to 265,407.42, 398,178.57 and 78,418.92

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Solution

The fourth proportional to 265,407.42, 398,178.57 and 78,418.92 is: 117,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,407.42 : 398,178.57 = 78,418.92 : x
  2. Step 2: Convert to fraction form
    265,407.42/398,178.57 = 78,418.92/x
  3. Step 3: Cross multiply
    265,407.42x = 398,178.57 × 78,418.92
  4. Step 4: Simplify right side
    265,407.42x = 31,224,733,426.54
  5. Step 5: Solve for x
    x = 31,224,733,426.54/265,407.42
  6. Step 6: Final answer
    x = 117,648.31

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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.