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Finding the Fourth Proportional to 314,869, 434,506.50 and 171,625.96

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Solution

The fourth proportional to 314,869, 434,506.50 and 171,625.96 is: 236,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,869 : 434,506.50 = 171,625.96 : x
  2. Step 2: Convert to fraction form
    314,869/434,506.50 = 171,625.96/x
  3. Step 3: Cross multiply
    314,869x = 434,506.50 × 171,625.96
  4. Step 4: Simplify right side
    314,869x = 74,572,595,188.74
  5. Step 5: Solve for x
    x = 74,572,595,188.74/314,869
  6. Step 6: Final answer
    x = 236,836.89

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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.