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Finding the Fourth Proportional to 356,379.12, 491,803.17 and 213,139.16

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Solution

The fourth proportional to 356,379.12, 491,803.17 and 213,139.16 is: 294,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,379.12 : 491,803.17 = 213,139.16 : x
  2. Step 2: Convert to fraction form
    356,379.12/491,803.17 = 213,139.16/x
  3. Step 3: Cross multiply
    356,379.12x = 491,803.17 × 213,139.16
  4. Step 4: Simplify right side
    356,379.12x = 104,822,514,539.14
  5. Step 5: Solve for x
    x = 104,822,514,539.14/356,379.12
  6. Step 6: Final answer
    x = 294,132.03

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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.