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Finding the Fourth Proportional to 305,774.10, 458,315.10 and 155,697.36

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Solution

The fourth proportional to 305,774.10, 458,315.10 and 155,697.36 is: 233,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,774.10 : 458,315.10 = 155,697.36 : x
  2. Step 2: Convert to fraction form
    305,774.10/458,315.10 = 155,697.36/x
  3. Step 3: Cross multiply
    305,774.10x = 458,315.10 × 155,697.36
  4. Step 4: Simplify right side
    305,774.10x = 71,358,451,118.14
  5. Step 5: Solve for x
    x = 71,358,451,118.14/305,774.10
  6. Step 6: Final answer
    x = 233,369.83

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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.