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Finding the Fourth Proportional to 519,386.52, 779,180.76 and 199,515

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Solution

The fourth proportional to 519,386.52, 779,180.76 and 199,515 is: 299,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,386.52 : 779,180.76 = 199,515 : x
  2. Step 2: Convert to fraction form
    519,386.52/779,180.76 = 199,515/x
  3. Step 3: Cross multiply
    519,386.52x = 779,180.76 × 199,515
  4. Step 4: Simplify right side
    519,386.52x = 155,458,249,331.40
  5. Step 5: Solve for x
    x = 155,458,249,331.40/519,386.52
  6. Step 6: Final answer
    x = 299,311.29

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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.