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Finding the Fourth Proportional to 424,395.77, 636,874.10 and 199,820.42

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Solution

The fourth proportional to 424,395.77, 636,874.10 and 199,820.42 is: 299,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,395.77 : 636,874.10 = 199,820.42 : x
  2. Step 2: Convert to fraction form
    424,395.77/636,874.10 = 199,820.42/x
  3. Step 3: Cross multiply
    424,395.77x = 636,874.10 × 199,820.42
  4. Step 4: Simplify right side
    424,395.77x = 127,260,449,150.02
  5. Step 5: Solve for x
    x = 127,260,449,150.02/424,395.77
  6. Step 6: Final answer
    x = 299,862.67

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1.5x scale

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.