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Finding the Fourth Proportional to 431,054.40, 646,541.70 and 203,297.76

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Solution

The fourth proportional to 431,054.40, 646,541.70 and 203,297.76 is: 304,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,054.40 : 646,541.70 = 203,297.76 : x
  2. Step 2: Convert to fraction form
    431,054.40/646,541.70 = 203,297.76/x
  3. Step 3: Cross multiply
    431,054.40x = 646,541.70 × 203,297.76
  4. Step 4: Simplify right side
    431,054.40x = 131,440,479,356.59
  5. Step 5: Solve for x
    x = 131,440,479,356.59/431,054.40
  6. Step 6: Final answer
    x = 304,927.82

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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.