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Finding the Fourth Proportional to 704,998.98, 972,899.82 and 382,709.30

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Solution

The fourth proportional to 704,998.98, 972,899.82 and 382,709.30 is: 528,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,998.98 : 972,899.82 = 382,709.30 : x
  2. Step 2: Convert to fraction form
    704,998.98/972,899.82 = 382,709.30/x
  3. Step 3: Cross multiply
    704,998.98x = 972,899.82 × 382,709.30
  4. Step 4: Simplify right side
    704,998.98x = 372,337,804,217.83
  5. Step 5: Solve for x
    x = 372,337,804,217.83/704,998.98
  6. Step 6: Final answer
    x = 528,139.49

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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.