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Finding the Fourth Proportional to 274,513.50, 378,828.54 and 153,654.75

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Solution

The fourth proportional to 274,513.50, 378,828.54 and 153,654.75 is: 212,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,513.50 : 378,828.54 = 153,654.75 : x
  2. Step 2: Convert to fraction form
    274,513.50/378,828.54 = 153,654.75/x
  3. Step 3: Cross multiply
    274,513.50x = 378,828.54 × 153,654.75
  4. Step 4: Simplify right side
    274,513.50x = 58,208,804,606.57
  5. Step 5: Solve for x
    x = 58,208,804,606.57/274,513.50
  6. Step 6: Final answer
    x = 212,043.50

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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.