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Finding the Fourth Proportional to 657,588.83, 907,403.31 and 381,892.88

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Solution

The fourth proportional to 657,588.83, 907,403.31 and 381,892.88 is: 526,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,588.83 : 907,403.31 = 381,892.88 : x
  2. Step 2: Convert to fraction form
    657,588.83/907,403.31 = 381,892.88/x
  3. Step 3: Cross multiply
    657,588.83x = 907,403.31 × 381,892.88
  4. Step 4: Simplify right side
    657,588.83x = 346,530,860,541.80
  5. Step 5: Solve for x
    x = 346,530,860,541.80/657,588.83
  6. Step 6: Final answer
    x = 526,971.94

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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.