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Finding the Fourth Proportional to 219,271.56, 329,007.78 and 119,281.92

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Solution

The fourth proportional to 219,271.56, 329,007.78 and 119,281.92 is: 178,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,271.56 : 329,007.78 = 119,281.92 : x
  2. Step 2: Convert to fraction form
    219,271.56/329,007.78 = 119,281.92/x
  3. Step 3: Cross multiply
    219,271.56x = 329,007.78 × 119,281.92
  4. Step 4: Simplify right side
    219,271.56x = 39,244,679,693.34
  5. Step 5: Solve for x
    x = 39,244,679,693.34/219,271.56
  6. Step 6: Final answer
    x = 178,977.52

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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.