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Finding the Fourth Proportional to 686,301.91, 947,131.44 and 395,805.40

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Solution

The fourth proportional to 686,301.91, 947,131.44 and 395,805.40 is: 546,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,301.91 : 947,131.44 = 395,805.40 : x
  2. Step 2: Convert to fraction form
    686,301.91/947,131.44 = 395,805.40/x
  3. Step 3: Cross multiply
    686,301.91x = 947,131.44 × 395,805.40
  4. Step 4: Simplify right side
    686,301.91x = 374,879,738,461.78
  5. Step 5: Solve for x
    x = 374,879,738,461.78/686,301.91
  6. Step 6: Final answer
    x = 546,231.52

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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.