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Finding the Fourth Proportional to 539,218.70, 808,309.65 and 419,209.10

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Solution

The fourth proportional to 539,218.70, 808,309.65 and 419,209.10 is: 628,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,218.70 : 808,309.65 = 419,209.10 : x
  2. Step 2: Convert to fraction form
    539,218.70/808,309.65 = 419,209.10/x
  3. Step 3: Cross multiply
    539,218.70x = 808,309.65 × 419,209.10
  4. Step 4: Simplify right side
    539,218.70x = 338,850,760,897.82
  5. Step 5: Solve for x
    x = 338,850,760,897.82/539,218.70
  6. Step 6: Final answer
    x = 628,410.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.