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Finding the Fourth Proportional to 303,200.36, 418,531.78 and 227,967.40

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Solution

The fourth proportional to 303,200.36, 418,531.78 and 227,967.40 is: 314,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,200.36 : 418,531.78 = 227,967.40 : x
  2. Step 2: Convert to fraction form
    303,200.36/418,531.78 = 227,967.40/x
  3. Step 3: Cross multiply
    303,200.36x = 418,531.78 × 227,967.40
  4. Step 4: Simplify right side
    303,200.36x = 95,411,601,703.97
  5. Step 5: Solve for x
    x = 95,411,601,703.97/303,200.36
  6. Step 6: Final answer
    x = 314,681.69

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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.