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Finding the Fourth Proportional to 657,768.82, 907,723.65 and 355,962.82

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Solution

The fourth proportional to 657,768.82, 907,723.65 and 355,962.82 is: 491,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,768.82 : 907,723.65 = 355,962.82 : x
  2. Step 2: Convert to fraction form
    657,768.82/907,723.65 = 355,962.82/x
  3. Step 3: Cross multiply
    657,768.82x = 907,723.65 × 355,962.82
  4. Step 4: Simplify right side
    657,768.82x = 323,115,870,234.69
  5. Step 5: Solve for x
    x = 323,115,870,234.69/657,768.82
  6. Step 6: Final answer
    x = 491,230.14

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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.