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Finding the Fourth Proportional to 315,011.26, 472,472.64 and 90,390.83

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Solution

The fourth proportional to 315,011.26, 472,472.64 and 90,390.83 is: 135,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,011.26 : 472,472.64 = 90,390.83 : x
  2. Step 2: Convert to fraction form
    315,011.26/472,472.64 = 90,390.83/x
  3. Step 3: Cross multiply
    315,011.26x = 472,472.64 × 90,390.83
  4. Step 4: Simplify right side
    315,011.26x = 42,707,193,629.94
  5. Step 5: Solve for x
    x = 42,707,193,629.94/315,011.26
  6. Step 6: Final answer
    x = 135,573.55

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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.