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Finding the Fourth Proportional to 521,137.95, 718,187.49 and 417,654.60

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Solution

The fourth proportional to 521,137.95, 718,187.49 and 417,654.60 is: 575,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,137.95 : 718,187.49 = 417,654.60 : x
  2. Step 2: Convert to fraction form
    521,137.95/718,187.49 = 417,654.60/x
  3. Step 3: Cross multiply
    521,137.95x = 718,187.49 × 417,654.60
  4. Step 4: Simplify right side
    521,137.95x = 299,954,308,860.95
  5. Step 5: Solve for x
    x = 299,954,308,860.95/521,137.95
  6. Step 6: Final answer
    x = 575,575.64

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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.