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Finding the Fourth Proportional to 219,246, 328,879.80 and 71,502

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Solution

The fourth proportional to 219,246, 328,879.80 and 71,502 is: 107,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,246 : 328,879.80 = 71,502 : x
  2. Step 2: Convert to fraction form
    219,246/328,879.80 = 71,502/x
  3. Step 3: Cross multiply
    219,246x = 328,879.80 × 71,502
  4. Step 4: Simplify right side
    219,246x = 23,515,563,459.60
  5. Step 5: Solve for x
    x = 23,515,563,459.60/219,246
  6. Step 6: Final answer
    x = 107,256.52

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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.