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Finding the Fourth Proportional to 315,027.60, 472,541.40 and 282,550.65

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Solution

The fourth proportional to 315,027.60, 472,541.40 and 282,550.65 is: 423,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,027.60 : 472,541.40 = 282,550.65 : x
  2. Step 2: Convert to fraction form
    315,027.60/472,541.40 = 282,550.65/x
  3. Step 3: Cross multiply
    315,027.60x = 472,541.40 × 282,550.65
  4. Step 4: Simplify right side
    315,027.60x = 133,516,879,721.91
  5. Step 5: Solve for x
    x = 133,516,879,721.91/315,027.60
  6. Step 6: Final answer
    x = 423,825.98

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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.