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Finding the Fourth Proportional to 512,150.22, 706,767.44 and 282,707.64

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Solution

The fourth proportional to 512,150.22, 706,767.44 and 282,707.64 is: 390,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,150.22 : 706,767.44 = 282,707.64 : x
  2. Step 2: Convert to fraction form
    512,150.22/706,767.44 = 282,707.64/x
  3. Step 3: Cross multiply
    512,150.22x = 706,767.44 × 282,707.64
  4. Step 4: Simplify right side
    512,150.22x = 199,808,553,577.70
  5. Step 5: Solve for x
    x = 199,808,553,577.70/512,150.22
  6. Step 6: Final answer
    x = 390,136.62

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1.5x scale

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.