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Finding the Fourth Proportional to 219,417, 329,126.58 and 53,205

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Solution

The fourth proportional to 219,417, 329,126.58 and 53,205 is: 79,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,417 : 329,126.58 = 53,205 : x
  2. Step 2: Convert to fraction form
    219,417/329,126.58 = 53,205/x
  3. Step 3: Cross multiply
    219,417x = 329,126.58 × 53,205
  4. Step 4: Simplify right side
    219,417x = 17,511,179,688.90
  5. Step 5: Solve for x
    x = 17,511,179,688.90/219,417
  6. Step 6: Final answer
    x = 79,807.76

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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.