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Finding the Fourth Proportional to 431,174, 646,270.54 and 262,322.13

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Solution

The fourth proportional to 431,174, 646,270.54 and 262,322.13 is: 393,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,174 : 646,270.54 = 262,322.13 : x
  2. Step 2: Convert to fraction form
    431,174/646,270.54 = 262,322.13/x
  3. Step 3: Cross multiply
    431,174x = 646,270.54 × 262,322.13
  4. Step 4: Simplify right side
    431,174x = 169,531,060,066.09
  5. Step 5: Solve for x
    x = 169,531,060,066.09/431,174
  6. Step 6: Final answer
    x = 393,184.79

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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.