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Finding the Fourth Proportional to 312,077.32, 430,669.82 and 168,840.43

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Solution

The fourth proportional to 312,077.32, 430,669.82 and 168,840.43 is: 233,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,077.32 : 430,669.82 = 168,840.43 : x
  2. Step 2: Convert to fraction form
    312,077.32/430,669.82 = 168,840.43/x
  3. Step 3: Cross multiply
    312,077.32x = 430,669.82 × 168,840.43
  4. Step 4: Simplify right side
    312,077.32x = 72,714,477,596.82
  5. Step 5: Solve for x
    x = 72,714,477,596.82/312,077.32
  6. Step 6: Final answer
    x = 233,001.48

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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.