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Finding the Fourth Proportional to 398,058.54, 549,315.32 and 225,975

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Solution

The fourth proportional to 398,058.54, 549,315.32 and 225,975 is: 311,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,058.54 : 549,315.32 = 225,975 : x
  2. Step 2: Convert to fraction form
    398,058.54/549,315.32 = 225,975/x
  3. Step 3: Cross multiply
    398,058.54x = 549,315.32 × 225,975
  4. Step 4: Simplify right side
    398,058.54x = 124,131,529,437.00
  5. Step 5: Solve for x
    x = 124,131,529,437.00/398,058.54
  6. Step 6: Final answer
    x = 311,842.40

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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.