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Finding the Fourth Proportional to 289,164.16, 399,059.01 and 160,102.63

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Solution

The fourth proportional to 289,164.16, 399,059.01 and 160,102.63 is: 220,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,164.16 : 399,059.01 = 160,102.63 : x
  2. Step 2: Convert to fraction form
    289,164.16/399,059.01 = 160,102.63/x
  3. Step 3: Cross multiply
    289,164.16x = 399,059.01 × 160,102.63
  4. Step 4: Simplify right side
    289,164.16x = 63,890,397,525.02
  5. Step 5: Solve for x
    x = 63,890,397,525.02/289,164.16
  6. Step 6: Final answer
    x = 220,948.54

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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.