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Finding the Fourth Proportional to 431,177, 646,275.04 and 262,325.12

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Solution

The fourth proportional to 431,177, 646,275.04 and 262,325.12 is: 393,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,177 : 646,275.04 = 262,325.12 : x
  2. Step 2: Convert to fraction form
    431,177/646,275.04 = 262,325.12/x
  3. Step 3: Cross multiply
    431,177x = 646,275.04 × 262,325.12
  4. Step 4: Simplify right side
    431,177x = 169,534,177,421.01
  5. Step 5: Solve for x
    x = 169,534,177,421.01/431,177
  6. Step 6: Final answer
    x = 393,189.29

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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.