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Finding the Fourth Proportional to 199,467, 300,576.75 and 180,746.28

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Solution

The fourth proportional to 199,467, 300,576.75 and 180,746.28 is: 272,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,467 : 300,576.75 = 180,746.28 : x
  2. Step 2: Convert to fraction form
    199,467/300,576.75 = 180,746.28/x
  3. Step 3: Cross multiply
    199,467x = 300,576.75 × 180,746.28
  4. Step 4: Simplify right side
    199,467x = 54,328,129,416.99
  5. Step 5: Solve for x
    x = 54,328,129,416.99/199,467
  6. Step 6: Final answer
    x = 272,366.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.