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Finding the Fourth Proportional to 315,034.32, 434,747.44 and 171,790.68

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Solution

The fourth proportional to 315,034.32, 434,747.44 and 171,790.68 is: 237,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,034.32 : 434,747.44 = 171,790.68 : x
  2. Step 2: Convert to fraction form
    315,034.32/434,747.44 = 171,790.68/x
  3. Step 3: Cross multiply
    315,034.32x = 434,747.44 × 171,790.68
  4. Step 4: Simplify right side
    315,034.32x = 74,685,558,345.86
  5. Step 5: Solve for x
    x = 74,685,558,345.86/315,034.32
  6. Step 6: Final answer
    x = 237,071.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.