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Finding the Fourth Proportional to 314,499.76, 433,998.21 and 171,256.66

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Solution

The fourth proportional to 314,499.76, 433,998.21 and 171,256.66 is: 236,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,499.76 : 433,998.21 = 171,256.66 : x
  2. Step 2: Convert to fraction form
    314,499.76/433,998.21 = 171,256.66/x
  3. Step 3: Cross multiply
    314,499.76x = 433,998.21 × 171,256.66
  4. Step 4: Simplify right side
    314,499.76x = 74,325,083,890.58
  5. Step 5: Solve for x
    x = 74,325,083,890.58/314,499.76
  6. Step 6: Final answer
    x = 236,327.95

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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.