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Finding the Fourth Proportional to 219,389.76, 329,084.64 and 53,177.76

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Solution

The fourth proportional to 219,389.76, 329,084.64 and 53,177.76 is: 79,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,389.76 : 329,084.64 = 53,177.76 : x
  2. Step 2: Convert to fraction form
    219,389.76/329,084.64 = 53,177.76/x
  3. Step 3: Cross multiply
    219,389.76x = 329,084.64 × 53,177.76
  4. Step 4: Simplify right side
    219,389.76x = 17,499,984,005.61
  5. Step 5: Solve for x
    x = 17,499,984,005.61/219,389.76
  6. Step 6: Final answer
    x = 79,766.64

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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.