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Finding the Fourth Proportional to 398,056.54, 549,312.56 and 225,973

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Solution

The fourth proportional to 398,056.54, 549,312.56 and 225,973 is: 311,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,056.54 : 549,312.56 = 225,973 : x
  2. Step 2: Convert to fraction form
    398,056.54/549,312.56 = 225,973/x
  3. Step 3: Cross multiply
    398,056.54x = 549,312.56 × 225,973
  4. Step 4: Simplify right side
    398,056.54x = 124,129,807,120.88
  5. Step 5: Solve for x
    x = 124,129,807,120.88/398,056.54
  6. Step 6: Final answer
    x = 311,839.64

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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.