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Finding the Fourth Proportional to 519,460, 779,436.80 and 359,781.68

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Solution

The fourth proportional to 519,460, 779,436.80 and 359,781.68 is: 539,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,460 : 779,436.80 = 359,781.68 : x
  2. Step 2: Convert to fraction form
    519,460/779,436.80 = 359,781.68/x
  3. Step 3: Cross multiply
    519,460x = 779,436.80 × 359,781.68
  4. Step 4: Simplify right side
    519,460x = 280,427,081,357.82
  5. Step 5: Solve for x
    x = 280,427,081,357.82/519,460
  6. Step 6: Final answer
    x = 539,843.46

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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.