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Finding the Fourth Proportional to 465,138.80, 697,725.20 and 128,206.32

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Solution

The fourth proportional to 465,138.80, 697,725.20 and 128,206.32 is: 192,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,138.80 : 697,725.20 = 128,206.32 : x
  2. Step 2: Convert to fraction form
    465,138.80/697,725.20 = 128,206.32/x
  3. Step 3: Cross multiply
    465,138.80x = 697,725.20 × 128,206.32
  4. Step 4: Simplify right side
    465,138.80x = 89,452,780,263.26
  5. Step 5: Solve for x
    x = 89,452,780,263.26/465,138.80
  6. Step 6: Final answer
    x = 192,314.17

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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.