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Finding the Fourth Proportional to 256,466.47, 354,022.50 and 229,561.51

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Solution

The fourth proportional to 256,466.47, 354,022.50 and 229,561.51 is: 316,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,466.47 : 354,022.50 = 229,561.51 : x
  2. Step 2: Convert to fraction form
    256,466.47/354,022.50 = 229,561.51/x
  3. Step 3: Cross multiply
    256,466.47x = 354,022.50 × 229,561.51
  4. Step 4: Simplify right side
    256,466.47x = 81,269,939,673.98
  5. Step 5: Solve for x
    x = 81,269,939,673.98/256,466.47
  6. Step 6: Final answer
    x = 316,883.29

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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.