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Finding the Fourth Proportional to 657,299.56, 986,357.58 and 420,811.96

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Solution

The fourth proportional to 657,299.56, 986,357.58 and 420,811.96 is: 631,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,299.56 : 986,357.58 = 420,811.96 : x
  2. Step 2: Convert to fraction form
    657,299.56/986,357.58 = 420,811.96/x
  3. Step 3: Cross multiply
    657,299.56x = 986,357.58 × 420,811.96
  4. Step 4: Simplify right side
    657,299.56x = 415,071,066,500.66
  5. Step 5: Solve for x
    x = 415,071,066,500.66/657,299.56
  6. Step 6: Final answer
    x = 631,479.30

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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.