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Finding the Fourth Proportional to 397,064.63, 595,670.76 and 130,843.86

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Solution

The fourth proportional to 397,064.63, 595,670.76 and 130,843.86 is: 196,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,064.63 : 595,670.76 = 130,843.86 : x
  2. Step 2: Convert to fraction form
    397,064.63/595,670.76 = 130,843.86/x
  3. Step 3: Cross multiply
    397,064.63x = 595,670.76 × 130,843.86
  4. Step 4: Simplify right side
    397,064.63x = 77,939,859,293.77
  5. Step 5: Solve for x
    x = 77,939,859,293.77/397,064.63
  6. Step 6: Final answer
    x = 196,290.11

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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.