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Finding the Fourth Proportional to 378,222, 567,430.20 and 141,568.08

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Solution

The fourth proportional to 378,222, 567,430.20 and 141,568.08 is: 212,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,222 : 567,430.20 = 141,568.08 : x
  2. Step 2: Convert to fraction form
    378,222/567,430.20 = 141,568.08/x
  3. Step 3: Cross multiply
    378,222x = 567,430.20 × 141,568.08
  4. Step 4: Simplify right side
    378,222x = 80,330,003,948.02
  5. Step 5: Solve for x
    x = 80,330,003,948.02/378,222
  6. Step 6: Final answer
    x = 212,388.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.