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Finding the Fourth Proportional to 314,676.70, 434,252.55 and 171,436.30

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Solution

The fourth proportional to 314,676.70, 434,252.55 and 171,436.30 is: 236,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,676.70 : 434,252.55 = 171,436.30 : x
  2. Step 2: Convert to fraction form
    314,676.70/434,252.55 = 171,436.30/x
  3. Step 3: Cross multiply
    314,676.70x = 434,252.55 × 171,436.30
  4. Step 4: Simplify right side
    314,676.70x = 74,446,650,437.57
  5. Step 5: Solve for x
    x = 74,446,650,437.57/314,676.70
  6. Step 6: Final answer
    x = 236,581.39

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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.