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Finding the Fourth Proportional to 475,661.57, 656,433.47 and 284,638.19

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Solution

The fourth proportional to 475,661.57, 656,433.47 and 284,638.19 is: 392,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,661.57 : 656,433.47 = 284,638.19 : x
  2. Step 2: Convert to fraction form
    475,661.57/656,433.47 = 284,638.19/x
  3. Step 3: Cross multiply
    475,661.57x = 656,433.47 × 284,638.19
  4. Step 4: Simplify right side
    475,661.57x = 186,846,034,756.22
  5. Step 5: Solve for x
    x = 186,846,034,756.22/475,661.57
  6. Step 6: Final answer
    x = 392,812.97

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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.