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Finding the Fourth Proportional to 627,047.96, 865,297.17 and 355,117.80

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Solution

The fourth proportional to 627,047.96, 865,297.17 and 355,117.80 is: 490,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,047.96 : 865,297.17 = 355,117.80 : x
  2. Step 2: Convert to fraction form
    627,047.96/865,297.17 = 355,117.80/x
  3. Step 3: Cross multiply
    627,047.96x = 865,297.17 × 355,117.80
  4. Step 4: Simplify right side
    627,047.96x = 307,282,427,356.63
  5. Step 5: Solve for x
    x = 307,282,427,356.63/627,047.96
  6. Step 6: Final answer
    x = 490,046.14

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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.