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Finding the Fourth Proportional to 577,753.64, 797,500.42 and 397,063.70

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Solution

The fourth proportional to 577,753.64, 797,500.42 and 397,063.70 is: 548,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,753.64 : 797,500.42 = 397,063.70 : x
  2. Step 2: Convert to fraction form
    577,753.64/797,500.42 = 397,063.70/x
  3. Step 3: Cross multiply
    577,753.64x = 797,500.42 × 397,063.70
  4. Step 4: Simplify right side
    577,753.64x = 316,658,467,516.75
  5. Step 5: Solve for x
    x = 316,658,467,516.75/577,753.64
  6. Step 6: Final answer
    x = 548,085.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.