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Finding the Fourth Proportional to 305,398.72, 457,722.24 and 145,558.72

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Solution

The fourth proportional to 305,398.72, 457,722.24 and 145,558.72 is: 218,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,398.72 : 457,722.24 = 145,558.72 : x
  2. Step 2: Convert to fraction form
    305,398.72/457,722.24 = 145,558.72/x
  3. Step 3: Cross multiply
    305,398.72x = 457,722.24 × 145,558.72
  4. Step 4: Simplify right side
    305,398.72x = 66,625,463,369.93
  5. Step 5: Solve for x
    x = 66,625,463,369.93/305,398.72
  6. Step 6: Final answer
    x = 218,158.95

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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.