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Finding the Fourth Proportional to 519,591.25, 779,398.65 and 413,048.81

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Solution

The fourth proportional to 519,591.25, 779,398.65 and 413,048.81 is: 619,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,591.25 : 779,398.65 = 413,048.81 : x
  2. Step 2: Convert to fraction form
    519,591.25/779,398.65 = 413,048.81/x
  3. Step 3: Cross multiply
    519,591.25x = 779,398.65 × 413,048.81
  4. Step 4: Simplify right side
    519,591.25x = 321,929,684,898.11
  5. Step 5: Solve for x
    x = 321,929,684,898.11/519,591.25
  6. Step 6: Final answer
    x = 619,582.58

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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.