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Finding the Fourth Proportional to 305,151.42, 457,794.54 and 102,757.46

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Solution

The fourth proportional to 305,151.42, 457,794.54 and 102,757.46 is: 154,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,151.42 : 457,794.54 = 102,757.46 : x
  2. Step 2: Convert to fraction form
    305,151.42/457,794.54 = 102,757.46/x
  3. Step 3: Cross multiply
    305,151.42x = 457,794.54 × 102,757.46
  4. Step 4: Simplify right side
    305,151.42x = 47,041,804,132.27
  5. Step 5: Solve for x
    x = 47,041,804,132.27/305,151.42
  6. Step 6: Final answer
    x = 154,158.89

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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.