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Finding the Fourth Proportional to 315,840.32, 435,719.64 and 188,441.84

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Solution

The fourth proportional to 315,840.32, 435,719.64 and 188,441.84 is: 259,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,840.32 : 435,719.64 = 188,441.84 : x
  2. Step 2: Convert to fraction form
    315,840.32/435,719.64 = 188,441.84/x
  3. Step 3: Cross multiply
    315,840.32x = 435,719.64 × 188,441.84
  4. Step 4: Simplify right side
    315,840.32x = 82,107,810,685.74
  5. Step 5: Solve for x
    x = 82,107,810,685.74/315,840.32
  6. Step 6: Final answer
    x = 259,966.21

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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.