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Finding the Fourth Proportional to 329,077.70, 493,616.55 and 92,428.10

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Solution

The fourth proportional to 329,077.70, 493,616.55 and 92,428.10 is: 138,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,077.70 : 493,616.55 = 92,428.10 : x
  2. Step 2: Convert to fraction form
    329,077.70/493,616.55 = 92,428.10/x
  3. Step 3: Cross multiply
    329,077.70x = 493,616.55 × 92,428.10
  4. Step 4: Simplify right side
    329,077.70x = 45,624,039,845.06
  5. Step 5: Solve for x
    x = 45,624,039,845.06/329,077.70
  6. Step 6: Final answer
    x = 138,642.15

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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.