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Finding the Fourth Proportional to 855,634, 1,181,085.96 and 497,938

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Solution

The fourth proportional to 855,634, 1,181,085.96 and 497,938 is: 687,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,634 : 1,181,085.96 = 497,938 : x
  2. Step 2: Convert to fraction form
    855,634/1,181,085.96 = 497,938/x
  3. Step 3: Cross multiply
    855,634x = 1,181,085.96 × 497,938
  4. Step 4: Simplify right side
    855,634x = 588,107,580,750.48
  5. Step 5: Solve for x
    x = 588,107,580,750.48/855,634
  6. Step 6: Final answer
    x = 687,335.45

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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.