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Finding the Fourth Proportional to 347,027.34, 478,705.38 and 201,817.22

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Solution

The fourth proportional to 347,027.34, 478,705.38 and 201,817.22 is: 278,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,027.34 : 478,705.38 = 201,817.22 : x
  2. Step 2: Convert to fraction form
    347,027.34/478,705.38 = 201,817.22/x
  3. Step 3: Cross multiply
    347,027.34x = 478,705.38 × 201,817.22
  4. Step 4: Simplify right side
    347,027.34x = 96,610,986,597.12
  5. Step 5: Solve for x
    x = 96,610,986,597.12/347,027.34
  6. Step 6: Final answer
    x = 278,395.89

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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.