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Finding the Fourth Proportional to 519,775.47, 778,261.41 and 339,414.12

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Solution

The fourth proportional to 519,775.47, 778,261.41 and 339,414.12 is: 508,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,775.47 : 778,261.41 = 339,414.12 : x
  2. Step 2: Convert to fraction form
    519,775.47/778,261.41 = 339,414.12/x
  3. Step 3: Cross multiply
    519,775.47x = 778,261.41 × 339,414.12
  4. Step 4: Simplify right side
    519,775.47x = 264,152,911,605.11
  5. Step 5: Solve for x
    x = 264,152,911,605.11/519,775.47
  6. Step 6: Final answer
    x = 508,205.81

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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.