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Finding the Fourth Proportional to 523,317.82, 722,291.15 and 319,325.06

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Solution

The fourth proportional to 523,317.82, 722,291.15 and 319,325.06 is: 440,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,317.82 : 722,291.15 = 319,325.06 : x
  2. Step 2: Convert to fraction form
    523,317.82/722,291.15 = 319,325.06/x
  3. Step 3: Cross multiply
    523,317.82x = 722,291.15 × 319,325.06
  4. Step 4: Simplify right side
    523,317.82x = 230,645,659,603.14
  5. Step 5: Solve for x
    x = 230,645,659,603.14/523,317.82
  6. Step 6: Final answer
    x = 440,737.26

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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.