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Finding the Fourth Proportional to 657,720, 907,654.41 and 355,914

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Solution

The fourth proportional to 657,720, 907,654.41 and 355,914 is: 491,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,720 : 907,654.41 = 355,914 : x
  2. Step 2: Convert to fraction form
    657,720/907,654.41 = 355,914/x
  3. Step 3: Cross multiply
    657,720x = 907,654.41 × 355,914
  4. Step 4: Simplify right side
    657,720x = 323,046,911,680.74
  5. Step 5: Solve for x
    x = 323,046,911,680.74/657,720
  6. Step 6: Final answer
    x = 491,161.76

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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.