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Finding the Fourth Proportional to 347,005.80, 478,969.56 and 201,845.52

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Solution

The fourth proportional to 347,005.80, 478,969.56 and 201,845.52 is: 278,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,005.80 : 478,969.56 = 201,845.52 : x
  2. Step 2: Convert to fraction form
    347,005.80/478,969.56 = 201,845.52/x
  3. Step 3: Cross multiply
    347,005.80x = 478,969.56 × 201,845.52
  4. Step 4: Simplify right side
    347,005.80x = 96,677,859,902.37
  5. Step 5: Solve for x
    x = 96,677,859,902.37/347,005.80
  6. Step 6: Final answer
    x = 278,605.89

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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.