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Finding the Fourth Proportional to 512,039.36, 767,966.72 and 137,975.04

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Solution

The fourth proportional to 512,039.36, 767,966.72 and 137,975.04 is: 206,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,039.36 : 767,966.72 = 137,975.04 : x
  2. Step 2: Convert to fraction form
    512,039.36/767,966.72 = 137,975.04/x
  3. Step 3: Cross multiply
    512,039.36x = 767,966.72 × 137,975.04
  4. Step 4: Simplify right side
    512,039.36x = 105,960,238,910.67
  5. Step 5: Solve for x
    x = 105,960,238,910.67/512,039.36
  6. Step 6: Final answer
    x = 206,937.68

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1.5x scale

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.