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Finding the Fourth Proportional to 398,943.12, 550,529.54 and 217,658.64

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Solution

The fourth proportional to 398,943.12, 550,529.54 and 217,658.64 is: 300,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,943.12 : 550,529.54 = 217,658.64 : x
  2. Step 2: Convert to fraction form
    398,943.12/550,529.54 = 217,658.64/x
  3. Step 3: Cross multiply
    398,943.12x = 550,529.54 × 217,658.64
  4. Step 4: Simplify right side
    398,943.12x = 119,827,510,956.23
  5. Step 5: Solve for x
    x = 119,827,510,956.23/398,943.12
  6. Step 6: Final answer
    x = 300,362.39

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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.