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Finding the Fourth Proportional to 265,356, 398,034 and 78,382.08

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Solution

The fourth proportional to 265,356, 398,034 and 78,382.08 is: 117,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,356 : 398,034 = 78,382.08 : x
  2. Step 2: Convert to fraction form
    265,356/398,034 = 78,382.08/x
  3. Step 3: Cross multiply
    265,356x = 398,034 × 78,382.08
  4. Step 4: Simplify right side
    265,356x = 31,198,732,830.72
  5. Step 5: Solve for x
    x = 31,198,732,830.72/265,356
  6. Step 6: Final answer
    x = 117,573.12

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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.