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Finding the Fourth Proportional to 472,474.62, 708,011.82 and 388,829.16

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Solution

The fourth proportional to 472,474.62, 708,011.82 and 388,829.16 is: 582,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,474.62 : 708,011.82 = 388,829.16 : x
  2. Step 2: Convert to fraction form
    472,474.62/708,011.82 = 388,829.16/x
  3. Step 3: Cross multiply
    472,474.62x = 708,011.82 × 388,829.16
  4. Step 4: Simplify right side
    472,474.62x = 275,295,641,240.67
  5. Step 5: Solve for x
    x = 275,295,641,240.67/472,474.62
  6. Step 6: Final answer
    x = 582,667.58

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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.