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Finding the Fourth Proportional to 298,658, 412,148.04 and 164,530.64

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Solution

The fourth proportional to 298,658, 412,148.04 and 164,530.64 is: 227,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,658 : 412,148.04 = 164,530.64 : x
  2. Step 2: Convert to fraction form
    298,658/412,148.04 = 164,530.64/x
  3. Step 3: Cross multiply
    298,658x = 412,148.04 × 164,530.64
  4. Step 4: Simplify right side
    298,658x = 67,810,980,795.95
  5. Step 5: Solve for x
    x = 67,810,980,795.95/298,658
  6. Step 6: Final answer
    x = 227,052.28

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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.