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Finding the Fourth Proportional to 289,597.70, 399,407.86 and 203,840.57

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Solution

The fourth proportional to 289,597.70, 399,407.86 and 203,840.57 is: 281,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,597.70 : 399,407.86 = 203,840.57 : x
  2. Step 2: Convert to fraction form
    289,597.70/399,407.86 = 203,840.57/x
  3. Step 3: Cross multiply
    289,597.70x = 399,407.86 × 203,840.57
  4. Step 4: Simplify right side
    289,597.70x = 81,415,525,844.88
  5. Step 5: Solve for x
    x = 81,415,525,844.88/289,597.70
  6. Step 6: Final answer
    x = 281,133.19

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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.