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Finding the Fourth Proportional to 465,165.20, 697,747.80 and 128,205.20

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Solution

The fourth proportional to 465,165.20, 697,747.80 and 128,205.20 is: 192,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,165.20 : 697,747.80 = 128,205.20 : x
  2. Step 2: Convert to fraction form
    465,165.20/697,747.80 = 128,205.20/x
  3. Step 3: Cross multiply
    465,165.20x = 697,747.80 × 128,205.20
  4. Step 4: Simplify right side
    465,165.20x = 89,454,896,248.56
  5. Step 5: Solve for x
    x = 89,454,896,248.56/465,165.20
  6. Step 6: Final answer
    x = 192,307.80

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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.