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Finding the Fourth Proportional to 314,868, 434,505.12 and 171,624.96

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Solution

The fourth proportional to 314,868, 434,505.12 and 171,624.96 is: 236,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,868 : 434,505.12 = 171,624.96 : x
  2. Step 2: Convert to fraction form
    314,868/434,505.12 = 171,624.96/x
  3. Step 3: Cross multiply
    314,868x = 434,505.12 × 171,624.96
  4. Step 4: Simplify right side
    314,868x = 74,571,923,839.80
  5. Step 5: Solve for x
    x = 74,571,923,839.80/314,868
  6. Step 6: Final answer
    x = 236,835.51

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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.