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Finding the Fourth Proportional to 664,970.13, 917,658.78 and 363,164.13

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Solution

The fourth proportional to 664,970.13, 917,658.78 and 363,164.13 is: 501,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,970.13 : 917,658.78 = 363,164.13 : x
  2. Step 2: Convert to fraction form
    664,970.13/917,658.78 = 363,164.13/x
  3. Step 3: Cross multiply
    664,970.13x = 917,658.78 × 363,164.13
  4. Step 4: Simplify right side
    664,970.13x = 333,260,752,475.56
  5. Step 5: Solve for x
    x = 333,260,752,475.56/664,970.13
  6. Step 6: Final answer
    x = 501,166.50

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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.