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Finding the Fourth Proportional to 539,111.20, 808,148.40 and 419,101.60

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Solution

The fourth proportional to 539,111.20, 808,148.40 and 419,101.60 is: 628,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,111.20 : 808,148.40 = 419,101.60 : x
  2. Step 2: Convert to fraction form
    539,111.20/808,148.40 = 419,101.60/x
  3. Step 3: Cross multiply
    539,111.20x = 808,148.40 × 419,101.60
  4. Step 4: Simplify right side
    539,111.20x = 338,696,287,477.44
  5. Step 5: Solve for x
    x = 338,696,287,477.44/539,111.20
  6. Step 6: Final answer
    x = 628,249.40

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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.