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Finding the Fourth Proportional to 314,664.64, 434,235.06 and 171,424.78

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Solution

The fourth proportional to 314,664.64, 434,235.06 and 171,424.78 is: 236,565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,664.64 : 434,235.06 = 171,424.78 : x
  2. Step 2: Convert to fraction form
    314,664.64/434,235.06 = 171,424.78/x
  3. Step 3: Cross multiply
    314,664.64x = 434,235.06 × 171,424.78
  4. Step 4: Simplify right side
    314,664.64x = 74,438,649,628.79
  5. Step 5: Solve for x
    x = 74,438,649,628.79/314,664.64
  6. Step 6: Final answer
    x = 236,565.03

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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.