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Finding the Fourth Proportional to 315,065.32, 434,544.40 and 201,898.60

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Solution

The fourth proportional to 315,065.32, 434,544.40 and 201,898.60 is: 278,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,065.32 : 434,544.40 = 201,898.60 : x
  2. Step 2: Convert to fraction form
    315,065.32/434,544.40 = 201,898.60/x
  3. Step 3: Cross multiply
    315,065.32x = 434,544.40 × 201,898.60
  4. Step 4: Simplify right side
    315,065.32x = 87,733,905,997.84
  5. Step 5: Solve for x
    x = 87,733,905,997.84/315,065.32
  6. Step 6: Final answer
    x = 278,462.59

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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.