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Finding the Fourth Proportional to 256,464.47, 354,019.74 and 229,559.51

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Solution

The fourth proportional to 256,464.47, 354,019.74 and 229,559.51 is: 316,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,464.47 : 354,019.74 = 229,559.51 : x
  2. Step 2: Convert to fraction form
    256,464.47/354,019.74 = 229,559.51/x
  3. Step 3: Cross multiply
    256,464.47x = 354,019.74 × 229,559.51
  4. Step 4: Simplify right side
    256,464.47x = 81,268,598,044.73
  5. Step 5: Solve for x
    x = 81,268,598,044.73/256,464.47
  6. Step 6: Final answer
    x = 316,880.53

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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.