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Finding the Fourth Proportional to 513,852.30, 769,745.07 and 288,875.61

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Solution

The fourth proportional to 513,852.30, 769,745.07 and 288,875.61 is: 432,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,852.30 : 769,745.07 = 288,875.61 : x
  2. Step 2: Convert to fraction form
    513,852.30/769,745.07 = 288,875.61/x
  3. Step 3: Cross multiply
    513,852.30x = 769,745.07 × 288,875.61
  4. Step 4: Simplify right side
    513,852.30x = 222,360,576,640.74
  5. Step 5: Solve for x
    x = 222,360,576,640.74/513,852.30
  6. Step 6: Final answer
    x = 432,732.47

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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.