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Finding the Fourth Proportional to 289,533.37, 399,558.89 and 160,474.66

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Solution

The fourth proportional to 289,533.37, 399,558.89 and 160,474.66 is: 221,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,533.37 : 399,558.89 = 160,474.66 : x
  2. Step 2: Convert to fraction form
    289,533.37/399,558.89 = 160,474.66/x
  3. Step 3: Cross multiply
    289,533.37x = 399,558.89 × 160,474.66
  4. Step 4: Simplify right side
    289,533.37x = 64,119,077,022.73
  5. Step 5: Solve for x
    x = 64,119,077,022.73/289,533.37
  6. Step 6: Final answer
    x = 221,456.60

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1.5x scale

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.