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Finding the Fourth Proportional to 397,871.60, 596,813.72 and 221,499.60

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Solution

The fourth proportional to 397,871.60, 596,813.72 and 221,499.60 is: 332,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,871.60 : 596,813.72 = 221,499.60 : x
  2. Step 2: Convert to fraction form
    397,871.60/596,813.72 = 221,499.60/x
  3. Step 3: Cross multiply
    397,871.60x = 596,813.72 × 221,499.60
  4. Step 4: Simplify right side
    397,871.60x = 132,194,000,254.51
  5. Step 5: Solve for x
    x = 132,194,000,254.51/397,871.60
  6. Step 6: Final answer
    x = 332,252.92

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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.