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Finding the Fourth Proportional to 719,822, 993,354.36 and 418,035.44

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Solution

The fourth proportional to 719,822, 993,354.36 and 418,035.44 is: 576,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,822 : 993,354.36 = 418,035.44 : x
  2. Step 2: Convert to fraction form
    719,822/993,354.36 = 418,035.44/x
  3. Step 3: Cross multiply
    719,822x = 993,354.36 × 418,035.44
  4. Step 4: Simplify right side
    719,822x = 415,257,326,958.52
  5. Step 5: Solve for x
    x = 415,257,326,958.52/719,822
  6. Step 6: Final answer
    x = 576,888.91

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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.