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Finding the Fourth Proportional to 289,647.44, 399,713.46 and 160,585.50

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Solution

The fourth proportional to 289,647.44, 399,713.46 and 160,585.50 is: 221,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,647.44 : 399,713.46 = 160,585.50 : x
  2. Step 2: Convert to fraction form
    289,647.44/399,713.46 = 160,585.50/x
  3. Step 3: Cross multiply
    289,647.44x = 399,713.46 × 160,585.50
  4. Step 4: Simplify right side
    289,647.44x = 64,188,185,830.83
  5. Step 5: Solve for x
    x = 64,188,185,830.83/289,647.44
  6. Step 6: Final answer
    x = 221,607.99

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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.