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Finding the Fourth Proportional to 515,428.40, 711,315.14 and 321,950.66

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Solution

The fourth proportional to 515,428.40, 711,315.14 and 321,950.66 is: 444,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,428.40 : 711,315.14 = 321,950.66 : x
  2. Step 2: Convert to fraction form
    515,428.40/711,315.14 = 321,950.66/x
  3. Step 3: Cross multiply
    515,428.40x = 711,315.14 × 321,950.66
  4. Step 4: Simplify right side
    515,428.40x = 229,008,376,039.29
  5. Step 5: Solve for x
    x = 229,008,376,039.29/515,428.40
  6. Step 6: Final answer
    x = 444,306.87

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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.