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Finding the Fourth Proportional to 301,018.72, 451,603.16 and 212,445.24

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Solution

The fourth proportional to 301,018.72, 451,603.16 and 212,445.24 is: 318,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,018.72 : 451,603.16 = 212,445.24 : x
  2. Step 2: Convert to fraction form
    301,018.72/451,603.16 = 212,445.24/x
  3. Step 3: Cross multiply
    301,018.72x = 451,603.16 × 212,445.24
  4. Step 4: Simplify right side
    301,018.72x = 95,940,941,710.96
  5. Step 5: Solve for x
    x = 95,940,941,710.96/301,018.72
  6. Step 6: Final answer
    x = 318,720.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.