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Finding the Fourth Proportional to 431,266.42, 646,184.43 and 262,275.58

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Solution

The fourth proportional to 431,266.42, 646,184.43 and 262,275.58 is: 392,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,266.42 : 646,184.43 = 262,275.58 : x
  2. Step 2: Convert to fraction form
    431,266.42/646,184.43 = 262,275.58/x
  3. Step 3: Cross multiply
    431,266.42x = 646,184.43 × 262,275.58
  4. Step 4: Simplify right side
    431,266.42x = 169,478,396,165.22
  5. Step 5: Solve for x
    x = 169,478,396,165.22/431,266.42
  6. Step 6: Final answer
    x = 392,978.42

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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.