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Finding the Fourth Proportional to 256,465.47, 354,021.12 and 229,560.51

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Solution

The fourth proportional to 256,465.47, 354,021.12 and 229,560.51 is: 316,881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,465.47 : 354,021.12 = 229,560.51 : x
  2. Step 2: Convert to fraction form
    256,465.47/354,021.12 = 229,560.51/x
  3. Step 3: Cross multiply
    256,465.47x = 354,021.12 × 229,560.51
  4. Step 4: Simplify right side
    256,465.47x = 81,269,268,857.97
  5. Step 5: Solve for x
    x = 81,269,268,857.97/256,465.47
  6. Step 6: Final answer
    x = 316,881.91

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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.