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Finding the Fourth Proportional to 642,959.15, 964,491.32 and 322,946.47

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Solution

The fourth proportional to 642,959.15, 964,491.32 and 322,946.47 is: 484,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,959.15 : 964,491.32 = 322,946.47 : x
  2. Step 2: Convert to fraction form
    642,959.15/964,491.32 = 322,946.47/x
  3. Step 3: Cross multiply
    642,959.15x = 964,491.32 × 322,946.47
  4. Step 4: Simplify right side
    642,959.15x = 311,479,065,524.91
  5. Step 5: Solve for x
    x = 311,479,065,524.91/642,959.15
  6. Step 6: Final answer
    x = 484,446.12

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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.