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Finding the Fourth Proportional to 402,226.21, 554,617.29 and 256,840.83

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Solution

The fourth proportional to 402,226.21, 554,617.29 and 256,840.83 is: 354,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,226.21 : 554,617.29 = 256,840.83 : x
  2. Step 2: Convert to fraction form
    402,226.21/554,617.29 = 256,840.83/x
  3. Step 3: Cross multiply
    402,226.21x = 554,617.29 × 256,840.83
  4. Step 4: Simplify right side
    402,226.21x = 142,448,366,059.10
  5. Step 5: Solve for x
    x = 142,448,366,059.10/402,226.21
  6. Step 6: Final answer
    x = 354,149.88

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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.