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Finding the Fourth Proportional to 512,611.13, 706,877.38 and 340,466.69

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Solution

The fourth proportional to 512,611.13, 706,877.38 and 340,466.69 is: 469,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,611.13 : 706,877.38 = 340,466.69 : x
  2. Step 2: Convert to fraction form
    512,611.13/706,877.38 = 340,466.69/x
  3. Step 3: Cross multiply
    512,611.13x = 706,877.38 × 340,466.69
  4. Step 4: Simplify right side
    512,611.13x = 240,668,203,997.25
  5. Step 5: Solve for x
    x = 240,668,203,997.25/512,611.13
  6. Step 6: Final answer
    x = 469,494.69

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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.