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Finding the Fourth Proportional to 314,365.26, 433,828.59 and 171,129.78

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Solution

The fourth proportional to 314,365.26, 433,828.59 and 171,129.78 is: 236,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,365.26 : 433,828.59 = 171,129.78 : x
  2. Step 2: Convert to fraction form
    314,365.26/433,828.59 = 171,129.78/x
  3. Step 3: Cross multiply
    314,365.26x = 433,828.59 × 171,129.78
  4. Step 4: Simplify right side
    314,365.26x = 74,240,991,164.41
  5. Step 5: Solve for x
    x = 74,240,991,164.41/314,365.26
  6. Step 6: Final answer
    x = 236,161.56

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1.5x scale

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.