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Finding the Fourth Proportional to 219,274.40, 328,710 and 78,998.72

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Solution

The fourth proportional to 219,274.40, 328,710 and 78,998.72 is: 118,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,274.40 : 328,710 = 78,998.72 : x
  2. Step 2: Convert to fraction form
    219,274.40/328,710 = 78,998.72/x
  3. Step 3: Cross multiply
    219,274.40x = 328,710 × 78,998.72
  4. Step 4: Simplify right side
    219,274.40x = 25,967,669,251.20
  5. Step 5: Solve for x
    x = 25,967,669,251.20/219,274.40
  6. Step 6: Final answer
    x = 118,425.45

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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.