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Finding the Fourth Proportional to 310,629, 427,610.16 and 229,904.40

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Solution

The fourth proportional to 310,629, 427,610.16 and 229,904.40 is: 316,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,629 : 427,610.16 = 229,904.40 : x
  2. Step 2: Convert to fraction form
    310,629/427,610.16 = 229,904.40/x
  3. Step 3: Cross multiply
    310,629x = 427,610.16 × 229,904.40
  4. Step 4: Simplify right side
    310,629x = 98,309,457,268.70
  5. Step 5: Solve for x
    x = 98,309,457,268.70/310,629
  6. Step 6: Final answer
    x = 316,485.12

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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.