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Finding the Fourth Proportional to 539,123.70, 808,167.15 and 419,114.10

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Solution

The fourth proportional to 539,123.70, 808,167.15 and 419,114.10 is: 628,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,123.70 : 808,167.15 = 419,114.10 : x
  2. Step 2: Convert to fraction form
    539,123.70/808,167.15 = 419,114.10/x
  3. Step 3: Cross multiply
    539,123.70x = 808,167.15 × 419,114.10
  4. Step 4: Simplify right side
    539,123.70x = 338,714,247,721.82
  5. Step 5: Solve for x
    x = 338,714,247,721.82/539,123.70
  6. Step 6: Final answer
    x = 628,268.15

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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.