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Finding the Fourth Proportional to 718,071.48, 990,764.46 and 431,811

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Solution

The fourth proportional to 718,071.48, 990,764.46 and 431,811 is: 595,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,071.48 : 990,764.46 = 431,811 : x
  2. Step 2: Convert to fraction form
    718,071.48/990,764.46 = 431,811/x
  3. Step 3: Cross multiply
    718,071.48x = 990,764.46 × 431,811
  4. Step 4: Simplify right side
    718,071.48x = 427,822,992,237.06
  5. Step 5: Solve for x
    x = 427,822,992,237.06/718,071.48
  6. Step 6: Final answer
    x = 595,794.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.