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Finding the Fourth Proportional to 291,836.41, 402,740.40 and 164,512

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Solution

The fourth proportional to 291,836.41, 402,740.40 and 164,512 is: 227,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,836.41 : 402,740.40 = 164,512 : x
  2. Step 2: Convert to fraction form
    291,836.41/402,740.40 = 164,512/x
  3. Step 3: Cross multiply
    291,836.41x = 402,740.40 × 164,512
  4. Step 4: Simplify right side
    291,836.41x = 66,255,628,684.80
  5. Step 5: Solve for x
    x = 66,255,628,684.80/291,836.41
  6. Step 6: Final answer
    x = 227,030.03

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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.