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Finding the Fourth Proportional to 227,642.49, 313,969.01 and 145,978.49

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Solution

The fourth proportional to 227,642.49, 313,969.01 and 145,978.49 is: 201,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,642.49 : 313,969.01 = 145,978.49 : x
  2. Step 2: Convert to fraction form
    227,642.49/313,969.01 = 145,978.49/x
  3. Step 3: Cross multiply
    227,642.49x = 313,969.01 × 145,978.49
  4. Step 4: Simplify right side
    227,642.49x = 45,832,719,686.86
  5. Step 5: Solve for x
    x = 45,832,719,686.86/227,642.49
  6. Step 6: Final answer
    x = 201,336.40

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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.