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Finding the Fourth Proportional to 628,701.13, 943,052 and 207,977.01

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Solution

The fourth proportional to 628,701.13, 943,052 and 207,977.01 is: 311,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,701.13 : 943,052 = 207,977.01 : x
  2. Step 2: Convert to fraction form
    628,701.13/943,052 = 207,977.01/x
  3. Step 3: Cross multiply
    628,701.13x = 943,052 × 207,977.01
  4. Step 4: Simplify right side
    628,701.13x = 196,133,135,234.52
  5. Step 5: Solve for x
    x = 196,133,135,234.52/628,701.13
  6. Step 6: Final answer
    x = 311,965.62

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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.