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Finding the Fourth Proportional to 280,382.78, 386,934.87 and 153,059.29

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Solution

The fourth proportional to 280,382.78, 386,934.87 and 153,059.29 is: 211,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,382.78 : 386,934.87 = 153,059.29 : x
  2. Step 2: Convert to fraction form
    280,382.78/386,934.87 = 153,059.29/x
  3. Step 3: Cross multiply
    280,382.78x = 386,934.87 × 153,059.29
  4. Step 4: Simplify right side
    280,382.78x = 59,223,976,085.08
  5. Step 5: Solve for x
    x = 59,223,976,085.08/280,382.78
  6. Step 6: Final answer
    x = 211,225.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.