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Finding the Fourth Proportional to 647,103.42, 892,988.31 and 360,618.30

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Solution

The fourth proportional to 647,103.42, 892,988.31 and 360,618.30 is: 497,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,103.42 : 892,988.31 = 360,618.30 : x
  2. Step 2: Convert to fraction form
    647,103.42/892,988.31 = 360,618.30/x
  3. Step 3: Cross multiply
    647,103.42x = 892,988.31 × 360,618.30
  4. Step 4: Simplify right side
    647,103.42x = 322,027,926,272.07
  5. Step 5: Solve for x
    x = 322,027,926,272.07/647,103.42
  6. Step 6: Final answer
    x = 497,645.22

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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.