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Finding the Fourth Proportional to 305,365.90, 457,834.24 and 134,506.54

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Solution

The fourth proportional to 305,365.90, 457,834.24 and 134,506.54 is: 201,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,365.90 : 457,834.24 = 134,506.54 : x
  2. Step 2: Convert to fraction form
    305,365.90/457,834.24 = 134,506.54/x
  3. Step 3: Cross multiply
    305,365.90x = 457,834.24 × 134,506.54
  4. Step 4: Simplify right side
    305,365.90x = 61,581,699,515.93
  5. Step 5: Solve for x
    x = 61,581,699,515.93/305,365.90
  6. Step 6: Final answer
    x = 201,665.28

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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.