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Finding the Fourth Proportional to 353,464, 487,780.32 and 194,488

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Solution

The fourth proportional to 353,464, 487,780.32 and 194,488 is: 268,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,464 : 487,780.32 = 194,488 : x
  2. Step 2: Convert to fraction form
    353,464/487,780.32 = 194,488/x
  3. Step 3: Cross multiply
    353,464x = 487,780.32 × 194,488
  4. Step 4: Simplify right side
    353,464x = 94,867,418,876.16
  5. Step 5: Solve for x
    x = 94,867,418,876.16/353,464
  6. Step 6: Final answer
    x = 268,393.44

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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.