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Finding the Fourth Proportional to 219,400.52, 328,879.20 and 86,374.14

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Solution

The fourth proportional to 219,400.52, 328,879.20 and 86,374.14 is: 129,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,400.52 : 328,879.20 = 86,374.14 : x
  2. Step 2: Convert to fraction form
    219,400.52/328,879.20 = 86,374.14/x
  3. Step 3: Cross multiply
    219,400.52x = 328,879.20 × 86,374.14
  4. Step 4: Simplify right side
    219,400.52x = 28,406,658,063.89
  5. Step 5: Solve for x
    x = 28,406,658,063.89/219,400.52
  6. Step 6: Final answer
    x = 129,473.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.