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Finding the Fourth Proportional to 650,469.42, 975,287.99 and 312,837.66

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Solution

The fourth proportional to 650,469.42, 975,287.99 and 312,837.66 is: 469,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,469.42 : 975,287.99 = 312,837.66 : x
  2. Step 2: Convert to fraction form
    650,469.42/975,287.99 = 312,837.66/x
  3. Step 3: Cross multiply
    650,469.42x = 975,287.99 × 312,837.66
  4. Step 4: Simplify right side
    650,469.42x = 305,106,813,399.80
  5. Step 5: Solve for x
    x = 305,106,813,399.80/650,469.42
  6. Step 6: Final answer
    x = 469,056.35

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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.