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Finding the Fourth Proportional to 219,305.82, 328,970.47 and 69,557.47

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Solution

The fourth proportional to 219,305.82, 328,970.47 and 69,557.47 is: 104,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,305.82 : 328,970.47 = 69,557.47 : x
  2. Step 2: Convert to fraction form
    219,305.82/328,970.47 = 69,557.47/x
  3. Step 3: Cross multiply
    219,305.82x = 328,970.47 × 69,557.47
  4. Step 4: Simplify right side
    219,305.82x = 22,882,353,424.02
  5. Step 5: Solve for x
    x = 22,882,353,424.02/219,305.82
  6. Step 6: Final answer
    x = 104,339.93

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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.