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Finding the Fourth Proportional to 641,803.12, 962,727 and 304,670.10

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Solution

The fourth proportional to 641,803.12, 962,727 and 304,670.10 is: 457,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,803.12 : 962,727 = 304,670.10 : x
  2. Step 2: Convert to fraction form
    641,803.12/962,727 = 304,670.10/x
  3. Step 3: Cross multiply
    641,803.12x = 962,727 × 304,670.10
  4. Step 4: Simplify right side
    641,803.12x = 293,314,131,362.70
  5. Step 5: Solve for x
    x = 293,314,131,362.70/641,803.12
  6. Step 6: Final answer
    x = 457,015.75

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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.