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Finding the Fourth Proportional to 431,603.12, 595,867.76 and 383,724

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Solution

The fourth proportional to 431,603.12, 595,867.76 and 383,724 is: 529,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,603.12 : 595,867.76 = 383,724 : x
  2. Step 2: Convert to fraction form
    431,603.12/595,867.76 = 383,724/x
  3. Step 3: Cross multiply
    431,603.12x = 595,867.76 × 383,724
  4. Step 4: Simplify right side
    431,603.12x = 228,648,760,338.24
  5. Step 5: Solve for x
    x = 228,648,760,338.24/431,603.12
  6. Step 6: Final answer
    x = 529,766.24

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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.