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Finding the Fourth Proportional to 704,309.31, 971,939.72 and 382,012.49

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Solution

The fourth proportional to 704,309.31, 971,939.72 and 382,012.49 is: 527,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,309.31 : 971,939.72 = 382,012.49 : x
  2. Step 2: Convert to fraction form
    704,309.31/971,939.72 = 382,012.49/x
  3. Step 3: Cross multiply
    704,309.31x = 971,939.72 × 382,012.49
  4. Step 4: Simplify right side
    704,309.31x = 371,293,112,567.10
  5. Step 5: Solve for x
    x = 371,293,112,567.10/704,309.31
  6. Step 6: Final answer
    x = 527,173.37

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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.