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Finding the Fourth Proportional to 519,813.20, 779,833.20 and 295,281.20

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Solution

The fourth proportional to 519,813.20, 779,833.20 and 295,281.20 is: 442,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,813.20 : 779,833.20 = 295,281.20 : x
  2. Step 2: Convert to fraction form
    519,813.20/779,833.20 = 295,281.20/x
  3. Step 3: Cross multiply
    519,813.20x = 779,833.20 × 295,281.20
  4. Step 4: Simplify right side
    519,813.20x = 230,270,083,095.84
  5. Step 5: Solve for x
    x = 230,270,083,095.84/519,813.20
  6. Step 6: Final answer
    x = 442,986.22

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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.