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Finding the Fourth Proportional to 523,473.11, 722,377.13 and 290,899.27

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Solution

The fourth proportional to 523,473.11, 722,377.13 and 290,899.27 is: 401,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,473.11 : 722,377.13 = 290,899.27 : x
  2. Step 2: Convert to fraction form
    523,473.11/722,377.13 = 290,899.27/x
  3. Step 3: Cross multiply
    523,473.11x = 722,377.13 × 290,899.27
  4. Step 4: Simplify right side
    523,473.11x = 210,138,975,166.80
  5. Step 5: Solve for x
    x = 210,138,975,166.80/523,473.11
  6. Step 6: Final answer
    x = 401,432.22

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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.