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Finding the Fourth Proportional to 657,832.34, 907,808.64 and 356,026.34

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Solution

The fourth proportional to 657,832.34, 907,808.64 and 356,026.34 is: 491,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,832.34 : 907,808.64 = 356,026.34 : x
  2. Step 2: Convert to fraction form
    657,832.34/907,808.64 = 356,026.34/x
  3. Step 3: Cross multiply
    657,832.34x = 907,808.64 × 356,026.34
  4. Step 4: Simplify right side
    657,832.34x = 323,203,787,519.58
  5. Step 5: Solve for x
    x = 323,203,787,519.58/657,832.34
  6. Step 6: Final answer
    x = 491,316.36

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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.