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Finding the Fourth Proportional to 657,591, 907,482.06 and 355,791.48

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Solution

The fourth proportional to 657,591, 907,482.06 and 355,791.48 is: 490,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,591 : 907,482.06 = 355,791.48 : x
  2. Step 2: Convert to fraction form
    657,591/907,482.06 = 355,791.48/x
  3. Step 3: Cross multiply
    657,591x = 907,482.06 × 355,791.48
  4. Step 4: Simplify right side
    657,591x = 322,874,385,200.85
  5. Step 5: Solve for x
    x = 322,874,385,200.85/657,591
  6. Step 6: Final answer
    x = 490,995.75

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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.