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Finding the Fourth Proportional to 397,774.72, 596,602.80 and 131,536.63

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Solution

The fourth proportional to 397,774.72, 596,602.80 and 131,536.63 is: 197,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,774.72 : 596,602.80 = 131,536.63 : x
  2. Step 2: Convert to fraction form
    397,774.72/596,602.80 = 131,536.63/x
  3. Step 3: Cross multiply
    397,774.72x = 596,602.80 × 131,536.63
  4. Step 4: Simplify right side
    397,774.72x = 78,475,121,760.56
  5. Step 5: Solve for x
    x = 78,475,121,760.56/397,774.72
  6. Step 6: Final answer
    x = 197,285.34

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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.