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Finding the Fourth Proportional to 357,488.30, 493,336.77 and 196,345.28

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Solution

The fourth proportional to 357,488.30, 493,336.77 and 196,345.28 is: 270,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,488.30 : 493,336.77 = 196,345.28 : x
  2. Step 2: Convert to fraction form
    357,488.30/493,336.77 = 196,345.28/x
  3. Step 3: Cross multiply
    357,488.30x = 493,336.77 × 196,345.28
  4. Step 4: Simplify right side
    357,488.30x = 96,864,346,239.95
  5. Step 5: Solve for x
    x = 96,864,346,239.95/357,488.30
  6. Step 6: Final answer
    x = 270,958.09

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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.