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Finding the Fourth Proportional to 427,940.64, 590,578.32 and 258,171.12

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Solution

The fourth proportional to 427,940.64, 590,578.32 and 258,171.12 is: 356,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,940.64 : 590,578.32 = 258,171.12 : x
  2. Step 2: Convert to fraction form
    427,940.64/590,578.32 = 258,171.12/x
  3. Step 3: Cross multiply
    427,940.64x = 590,578.32 × 258,171.12
  4. Step 4: Simplify right side
    427,940.64x = 152,470,266,322.12
  5. Step 5: Solve for x
    x = 152,470,266,322.12/427,940.64
  6. Step 6: Final answer
    x = 356,288.35

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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.