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Finding the Fourth Proportional to 475,176.70, 655,743.78 and 284,190.10

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Solution

The fourth proportional to 475,176.70, 655,743.78 and 284,190.10 is: 392,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,176.70 : 655,743.78 = 284,190.10 : x
  2. Step 2: Convert to fraction form
    475,176.70/655,743.78 = 284,190.10/x
  3. Step 3: Cross multiply
    475,176.70x = 655,743.78 × 284,190.10
  4. Step 4: Simplify right side
    475,176.70x = 186,355,890,412.58
  5. Step 5: Solve for x
    x = 186,355,890,412.58/475,176.70
  6. Step 6: Final answer
    x = 392,182.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.