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Finding the Fourth Proportional to 656,676.64, 906,174.70 and 381,013.19

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Solution

The fourth proportional to 656,676.64, 906,174.70 and 381,013.19 is: 525,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,676.64 : 906,174.70 = 381,013.19 : x
  2. Step 2: Convert to fraction form
    656,676.64/906,174.70 = 381,013.19/x
  3. Step 3: Cross multiply
    656,676.64x = 906,174.70 × 381,013.19
  4. Step 4: Simplify right side
    656,676.64x = 345,264,513,144.29
  5. Step 5: Solve for x
    x = 345,264,513,144.29/656,676.64
  6. Step 6: Final answer
    x = 525,775.54

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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.