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Finding the Fourth Proportional to 645,889.42, 968,205.56 and 308,843.02

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Solution

The fourth proportional to 645,889.42, 968,205.56 and 308,843.02 is: 462,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,889.42 : 968,205.56 = 308,843.02 : x
  2. Step 2: Convert to fraction form
    645,889.42/968,205.56 = 308,843.02/x
  3. Step 3: Cross multiply
    645,889.42x = 968,205.56 × 308,843.02
  4. Step 4: Simplify right side
    645,889.42x = 299,023,529,131.19
  5. Step 5: Solve for x
    x = 299,023,529,131.19/645,889.42
  6. Step 6: Final answer
    x = 462,963.97

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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.