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Finding the Fourth Proportional to 200,004.20, 300,006.30 and 164,983.40

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Solution

The fourth proportional to 200,004.20, 300,006.30 and 164,983.40 is: 247,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,004.20 : 300,006.30 = 164,983.40 : x
  2. Step 2: Convert to fraction form
    200,004.20/300,006.30 = 164,983.40/x
  3. Step 3: Cross multiply
    200,004.20x = 300,006.30 × 164,983.40
  4. Step 4: Simplify right side
    200,004.20x = 49,496,059,395.42
  5. Step 5: Solve for x
    x = 49,496,059,395.42/200,004.20
  6. Step 6: Final answer
    x = 247,475.10

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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.