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Finding the Fourth Proportional to 523,818, 722,868.84 and 285,354

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Solution

The fourth proportional to 523,818, 722,868.84 and 285,354 is: 393,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,818 : 722,868.84 = 285,354 : x
  2. Step 2: Convert to fraction form
    523,818/722,868.84 = 285,354/x
  3. Step 3: Cross multiply
    523,818x = 722,868.84 × 285,354
  4. Step 4: Simplify right side
    523,818x = 206,273,514,969.36
  5. Step 5: Solve for x
    x = 206,273,514,969.36/523,818
  6. Step 6: Final answer
    x = 393,788.52

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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.