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Finding the Fourth Proportional to 431,066.76, 646,600.14 and 131,548.90

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Solution

The fourth proportional to 431,066.76, 646,600.14 and 131,548.90 is: 197,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,066.76 : 646,600.14 = 131,548.90 : x
  2. Step 2: Convert to fraction form
    431,066.76/646,600.14 = 131,548.90/x
  3. Step 3: Cross multiply
    431,066.76x = 646,600.14 × 131,548.90
  4. Step 4: Simplify right side
    431,066.76x = 85,059,537,156.85
  5. Step 5: Solve for x
    x = 85,059,537,156.85/431,066.76
  6. Step 6: Final answer
    x = 197,323.35

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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.