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Finding the Fourth Proportional to 314,797.05, 434,420.25 and 171,557.21

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Solution

The fourth proportional to 314,797.05, 434,420.25 and 171,557.21 is: 236,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,797.05 : 434,420.25 = 171,557.21 : x
  2. Step 2: Convert to fraction form
    314,797.05/434,420.25 = 171,557.21/x
  3. Step 3: Cross multiply
    314,797.05x = 434,420.25 × 171,557.21
  4. Step 4: Simplify right side
    314,797.05x = 74,527,923,885.40
  5. Step 5: Solve for x
    x = 74,527,923,885.40/314,797.05
  6. Step 6: Final answer
    x = 236,749.12

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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.