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Finding the Fourth Proportional to 561,279.81, 842,251.95 and 206,543.01

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Solution

The fourth proportional to 561,279.81, 842,251.95 and 206,543.01 is: 309,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,279.81 : 842,251.95 = 206,543.01 : x
  2. Step 2: Convert to fraction form
    561,279.81/842,251.95 = 206,543.01/x
  3. Step 3: Cross multiply
    561,279.81x = 842,251.95 × 206,543.01
  4. Step 4: Simplify right side
    561,279.81x = 173,961,252,931.37
  5. Step 5: Solve for x
    x = 173,961,252,931.37/561,279.81
  6. Step 6: Final answer
    x = 309,936.77

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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.