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Finding the Fourth Proportional to 484,768.84, 727,189.74 and 129,775

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Solution

The fourth proportional to 484,768.84, 727,189.74 and 129,775 is: 194,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,768.84 : 727,189.74 = 129,775 : x
  2. Step 2: Convert to fraction form
    484,768.84/727,189.74 = 129,775/x
  3. Step 3: Cross multiply
    484,768.84x = 727,189.74 × 129,775
  4. Step 4: Simplify right side
    484,768.84x = 94,371,048,508.50
  5. Step 5: Solve for x
    x = 94,371,048,508.50/484,768.84
  6. Step 6: Final answer
    x = 194,672.27

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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.