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Finding the Fourth Proportional to 512,349.30, 706,987.49 and 297,449.19

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Solution

The fourth proportional to 512,349.30, 706,987.49 and 297,449.19 is: 410,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,349.30 : 706,987.49 = 297,449.19 : x
  2. Step 2: Convert to fraction form
    512,349.30/706,987.49 = 297,449.19/x
  3. Step 3: Cross multiply
    512,349.30x = 706,987.49 × 297,449.19
  4. Step 4: Simplify right side
    512,349.30x = 210,292,854,753.39
  5. Step 5: Solve for x
    x = 210,292,854,753.39/512,349.30
  6. Step 6: Final answer
    x = 410,448.21

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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.