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Finding the Fourth Proportional to 314,478.84, 433,980.48 and 171,239.88

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Solution

The fourth proportional to 314,478.84, 433,980.48 and 171,239.88 is: 236,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,478.84 : 433,980.48 = 171,239.88 : x
  2. Step 2: Convert to fraction form
    314,478.84/433,980.48 = 171,239.88/x
  3. Step 3: Cross multiply
    314,478.84x = 433,980.48 × 171,239.88
  4. Step 4: Simplify right side
    314,478.84x = 74,314,765,317.54
  5. Step 5: Solve for x
    x = 74,314,765,317.54/314,478.84
  6. Step 6: Final answer
    x = 236,310.86

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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.