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Finding the Fourth Proportional to 521,893.10, 721,528.70 and 385,712.26

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Solution

The fourth proportional to 521,893.10, 721,528.70 and 385,712.26 is: 533,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,893.10 : 721,528.70 = 385,712.26 : x
  2. Step 2: Convert to fraction form
    521,893.10/721,528.70 = 385,712.26/x
  3. Step 3: Cross multiply
    521,893.10x = 721,528.70 × 385,712.26
  4. Step 4: Simplify right side
    521,893.10x = 278,302,465,531.86
  5. Step 5: Solve for x
    x = 278,302,465,531.86/521,893.10
  6. Step 6: Final answer
    x = 533,255.69

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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.