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Finding the Fourth Proportional to 398,855.76, 550,399.32 and 229,089.93

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Solution

The fourth proportional to 398,855.76, 550,399.32 and 229,089.93 is: 316,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,855.76 : 550,399.32 = 229,089.93 : x
  2. Step 2: Convert to fraction form
    398,855.76/550,399.32 = 229,089.93/x
  3. Step 3: Cross multiply
    398,855.76x = 550,399.32 × 229,089.93
  4. Step 4: Simplify right side
    398,855.76x = 126,090,941,690.85
  5. Step 5: Solve for x
    x = 126,090,941,690.85/398,855.76
  6. Step 6: Final answer
    x = 316,131.68

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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.