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Finding the Fourth Proportional to 657,335.58, 985,904.34 and 207,998.01

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Solution

The fourth proportional to 657,335.58, 985,904.34 and 207,998.01 is: 311,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,335.58 : 985,904.34 = 207,998.01 : x
  2. Step 2: Convert to fraction form
    657,335.58/985,904.34 = 207,998.01/x
  3. Step 3: Cross multiply
    657,335.58x = 985,904.34 × 207,998.01
  4. Step 4: Simplify right side
    657,335.58x = 205,066,140,770.36
  5. Step 5: Solve for x
    x = 205,066,140,770.36/657,335.58
  6. Step 6: Final answer
    x = 311,965.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.