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Finding the Fourth Proportional to 771,786.34, 1,064,725.88 and 465,692

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Solution

The fourth proportional to 771,786.34, 1,064,725.88 and 465,692 is: 642,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,786.34 : 1,064,725.88 = 465,692 : x
  2. Step 2: Convert to fraction form
    771,786.34/1,064,725.88 = 465,692/x
  3. Step 3: Cross multiply
    771,786.34x = 1,064,725.88 × 465,692
  4. Step 4: Simplify right side
    771,786.34x = 495,834,324,508.96
  5. Step 5: Solve for x
    x = 495,834,324,508.96/771,786.34
  6. Step 6: Final answer
    x = 642,450.25

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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.