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Finding the Fourth Proportional to 314,788.74, 434,408.49 and 171,548.70

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Solution

The fourth proportional to 314,788.74, 434,408.49 and 171,548.70 is: 236,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,788.74 : 434,408.49 = 171,548.70 : x
  2. Step 2: Convert to fraction form
    314,788.74/434,408.49 = 171,548.70/x
  3. Step 3: Cross multiply
    314,788.74x = 434,408.49 × 171,548.70
  4. Step 4: Simplify right side
    314,788.74x = 74,522,211,728.46
  5. Step 5: Solve for x
    x = 74,522,211,728.46/314,788.74
  6. Step 6: Final answer
    x = 236,737.22

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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.