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Finding the Fourth Proportional to 657,589.83, 907,404.69 and 381,893.88

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Solution

The fourth proportional to 657,589.83, 907,404.69 and 381,893.88 is: 526,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,589.83 : 907,404.69 = 381,893.88 : x
  2. Step 2: Convert to fraction form
    657,589.83/907,404.69 = 381,893.88/x
  3. Step 3: Cross multiply
    657,589.83x = 907,404.69 × 381,893.88
  4. Step 4: Simplify right side
    657,589.83x = 346,532,297,794.30
  5. Step 5: Solve for x
    x = 346,532,297,794.30/657,589.83
  6. Step 6: Final answer
    x = 526,973.32

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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.