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Finding the Fourth Proportional to 536,794.40, 805,288.80 and 221,283.20

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Solution

The fourth proportional to 536,794.40, 805,288.80 and 221,283.20 is: 331,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,794.40 : 805,288.80 = 221,283.20 : x
  2. Step 2: Convert to fraction form
    536,794.40/805,288.80 = 221,283.20/x
  3. Step 3: Cross multiply
    536,794.40x = 805,288.80 × 221,283.20
  4. Step 4: Simplify right side
    536,794.40x = 178,196,882,588.16
  5. Step 5: Solve for x
    x = 178,196,882,588.16/536,794.40
  6. Step 6: Final answer
    x = 331,964.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.