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Finding the Fourth Proportional to 475,409.98, 712,164.30 and 285,767.46

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Solution

The fourth proportional to 475,409.98, 712,164.30 and 285,767.46 is: 428,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,409.98 : 712,164.30 = 285,767.46 : x
  2. Step 2: Convert to fraction form
    475,409.98/712,164.30 = 285,767.46/x
  3. Step 3: Cross multiply
    475,409.98x = 712,164.30 × 285,767.46
  4. Step 4: Simplify right side
    475,409.98x = 203,513,383,649.49
  5. Step 5: Solve for x
    x = 203,513,383,649.49/475,409.98
  6. Step 6: Final answer
    x = 428,079.75

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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.