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Finding the Fourth Proportional to 512,246.39, 706,901.06 and 282,804.12

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Solution

The fourth proportional to 512,246.39, 706,901.06 and 282,804.12 is: 390,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,246.39 : 706,901.06 = 282,804.12 : x
  2. Step 2: Convert to fraction form
    512,246.39/706,901.06 = 282,804.12/x
  3. Step 3: Cross multiply
    512,246.39x = 706,901.06 × 282,804.12
  4. Step 4: Simplify right side
    512,246.39x = 199,914,530,786.35
  5. Step 5: Solve for x
    x = 199,914,530,786.35/512,246.39
  6. Step 6: Final answer
    x = 390,270.26

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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.