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Finding the Fourth Proportional to 642,876.48, 964,846.80 and 323,120.01

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Solution

The fourth proportional to 642,876.48, 964,846.80 and 323,120.01 is: 484,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,876.48 : 964,846.80 = 323,120.01 : x
  2. Step 2: Convert to fraction form
    642,876.48/964,846.80 = 323,120.01/x
  3. Step 3: Cross multiply
    642,876.48x = 964,846.80 × 323,120.01
  4. Step 4: Simplify right side
    642,876.48x = 311,761,307,664.47
  5. Step 5: Solve for x
    x = 311,761,307,664.47/642,876.48
  6. Step 6: Final answer
    x = 484,947.45

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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.