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Finding the Fourth Proportional to 657,794.10, 907,755.84 and 355,988.10

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Solution

The fourth proportional to 657,794.10, 907,755.84 and 355,988.10 is: 491,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,794.10 : 907,755.84 = 355,988.10 : x
  2. Step 2: Convert to fraction form
    657,794.10/907,755.84 = 355,988.10/x
  3. Step 3: Cross multiply
    657,794.10x = 907,755.84 × 355,988.10
  4. Step 4: Simplify right side
    657,794.10x = 323,150,272,206.73
  5. Step 5: Solve for x
    x = 323,150,272,206.73/657,794.10
  6. Step 6: Final answer
    x = 491,263.57

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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.