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Finding the Fourth Proportional to 398,851.72, 550,415.88 and 229,118.68

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Solution

The fourth proportional to 398,851.72, 550,415.88 and 229,118.68 is: 316,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,851.72 : 550,415.88 = 229,118.68 : x
  2. Step 2: Convert to fraction form
    398,851.72/550,415.88 = 229,118.68/x
  3. Step 3: Cross multiply
    398,851.72x = 550,415.88 × 229,118.68
  4. Step 4: Simplify right side
    398,851.72x = 126,110,559,876.64
  5. Step 5: Solve for x
    x = 126,110,559,876.64/398,851.72
  6. Step 6: Final answer
    x = 316,184.07

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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.