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Finding the Fourth Proportional to 805,509.72, 1,208,006.32 and 265,644.80

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Solution

The fourth proportional to 805,509.72, 1,208,006.32 and 265,644.80 is: 398,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,509.72 : 1,208,006.32 = 265,644.80 : x
  2. Step 2: Convert to fraction form
    805,509.72/1,208,006.32 = 265,644.80/x
  3. Step 3: Cross multiply
    805,509.72x = 1,208,006.32 × 265,644.80
  4. Step 4: Simplify right side
    805,509.72x = 320,900,597,275.14
  5. Step 5: Solve for x
    x = 320,900,597,275.14/805,509.72
  6. Step 6: Final answer
    x = 398,382.03

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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.