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Finding the Fourth Proportional to 219,091.47, 328,604.31 and 69,312.30

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Solution

The fourth proportional to 219,091.47, 328,604.31 and 69,312.30 is: 103,958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,091.47 : 328,604.31 = 69,312.30 : x
  2. Step 2: Convert to fraction form
    219,091.47/328,604.31 = 69,312.30/x
  3. Step 3: Cross multiply
    219,091.47x = 328,604.31 × 69,312.30
  4. Step 4: Simplify right side
    219,091.47x = 22,776,319,283.75
  5. Step 5: Solve for x
    x = 22,776,319,283.75/219,091.47
  6. Step 6: Final answer
    x = 103,958.04

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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.