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Finding the Fourth Proportional to 512,269.48, 768,945.30 and 287,821.72

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Solution

The fourth proportional to 512,269.48, 768,945.30 and 287,821.72 is: 432,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,269.48 : 768,945.30 = 287,821.72 : x
  2. Step 2: Convert to fraction form
    512,269.48/768,945.30 = 287,821.72/x
  3. Step 3: Cross multiply
    512,269.48x = 768,945.30 × 287,821.72
  4. Step 4: Simplify right side
    512,269.48x = 221,319,158,831.92
  5. Step 5: Solve for x
    x = 221,319,158,831.92/512,269.48
  6. Step 6: Final answer
    x = 432,036.59

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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.