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Finding the Fourth Proportional to 200,415.18, 300,622.80 and 50,655.90

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Solution

The fourth proportional to 200,415.18, 300,622.80 and 50,655.90 is: 75,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,415.18 : 300,622.80 = 50,655.90 : x
  2. Step 2: Convert to fraction form
    200,415.18/300,622.80 = 50,655.90/x
  3. Step 3: Cross multiply
    200,415.18x = 300,622.80 × 50,655.90
  4. Step 4: Simplify right side
    200,415.18x = 15,228,316,864.77
  5. Step 5: Solve for x
    x = 15,228,316,864.77/200,415.18
  6. Step 6: Final answer
    x = 75,983.85

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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.