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Finding the Fourth Proportional to 590,233.92, 814,521.12 and 321,960

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Solution

The fourth proportional to 590,233.92, 814,521.12 and 321,960 is: 444,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,233.92 : 814,521.12 = 321,960 : x
  2. Step 2: Convert to fraction form
    590,233.92/814,521.12 = 321,960/x
  3. Step 3: Cross multiply
    590,233.92x = 814,521.12 × 321,960
  4. Step 4: Simplify right side
    590,233.92x = 262,243,219,795.20
  5. Step 5: Solve for x
    x = 262,243,219,795.20/590,233.92
  6. Step 6: Final answer
    x = 444,303.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.