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Finding the Fourth Proportional to 305,219.41, 457,681.38 and 105,469.72

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Solution

The fourth proportional to 305,219.41, 457,681.38 and 105,469.72 is: 158,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,219.41 : 457,681.38 = 105,469.72 : x
  2. Step 2: Convert to fraction form
    305,219.41/457,681.38 = 105,469.72/x
  3. Step 3: Cross multiply
    305,219.41x = 457,681.38 × 105,469.72
  4. Step 4: Simplify right side
    305,219.41x = 48,271,526,997.81
  5. Step 5: Solve for x
    x = 48,271,526,997.81/305,219.41
  6. Step 6: Final answer
    x = 158,153.53

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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.