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Finding the Fourth Proportional to 315,280.93, 472,908.15 and 146,743.30

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Solution

The fourth proportional to 315,280.93, 472,908.15 and 146,743.30 is: 220,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,280.93 : 472,908.15 = 146,743.30 : x
  2. Step 2: Convert to fraction form
    315,280.93/472,908.15 = 146,743.30/x
  3. Step 3: Cross multiply
    315,280.93x = 472,908.15 × 146,743.30
  4. Step 4: Simplify right side
    315,280.93x = 69,396,102,527.90
  5. Step 5: Solve for x
    x = 69,396,102,527.90/315,280.93
  6. Step 6: Final answer
    x = 220,108.79

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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.