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Finding the Fourth Proportional to 721,264.83, 995,103.74 and 415,334.64

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Solution

The fourth proportional to 721,264.83, 995,103.74 and 415,334.64 is: 573,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,264.83 : 995,103.74 = 415,334.64 : x
  2. Step 2: Convert to fraction form
    721,264.83/995,103.74 = 415,334.64/x
  3. Step 3: Cross multiply
    721,264.83x = 995,103.74 × 415,334.64
  4. Step 4: Simplify right side
    721,264.83x = 413,301,051,538.88
  5. Step 5: Solve for x
    x = 413,301,051,538.88/721,264.83
  6. Step 6: Final answer
    x = 573,022.60

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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.