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Finding the Fourth Proportional to 675,966.78, 931,840.34 and 514,540.67

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Solution

The fourth proportional to 675,966.78, 931,840.34 and 514,540.67 is: 709,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,966.78 : 931,840.34 = 514,540.67 : x
  2. Step 2: Convert to fraction form
    675,966.78/931,840.34 = 514,540.67/x
  3. Step 3: Cross multiply
    675,966.78x = 931,840.34 × 514,540.67
  4. Step 4: Simplify right side
    675,966.78x = 479,469,745,644.72
  5. Step 5: Solve for x
    x = 479,469,745,644.72/675,966.78
  6. Step 6: Final answer
    x = 709,309.63

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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.