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Finding the Fourth Proportional to 431,178, 646,276.52 and 262,326.14

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Solution

The fourth proportional to 431,178, 646,276.52 and 262,326.14 is: 393,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,178 : 646,276.52 = 262,326.14 : x
  2. Step 2: Convert to fraction form
    431,178/646,276.52 = 262,326.14/x
  3. Step 3: Cross multiply
    431,178x = 646,276.52 × 262,326.14
  4. Step 4: Simplify right side
    431,178x = 169,535,224,864.23
  5. Step 5: Solve for x
    x = 169,535,224,864.23/431,178
  6. Step 6: Final answer
    x = 393,190.80

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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.