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Finding the Fourth Proportional to 512,999.21, 707,926.54 and 280,415.81

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Solution

The fourth proportional to 512,999.21, 707,926.54 and 280,415.81 is: 386,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,999.21 : 707,926.54 = 280,415.81 : x
  2. Step 2: Convert to fraction form
    512,999.21/707,926.54 = 280,415.81/x
  3. Step 3: Cross multiply
    512,999.21x = 707,926.54 × 280,415.81
  4. Step 4: Simplify right side
    512,999.21x = 198,513,794,134.60
  5. Step 5: Solve for x
    x = 198,513,794,134.60/512,999.21
  6. Step 6: Final answer
    x = 386,967.06

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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.