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Finding the Fourth Proportional to 298,771, 412,312.62 and 164,643.64

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Solution

The fourth proportional to 298,771, 412,312.62 and 164,643.64 is: 227,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,771 : 412,312.62 = 164,643.64 : x
  2. Step 2: Convert to fraction form
    298,771/412,312.62 = 164,643.64/x
  3. Step 3: Cross multiply
    298,771x = 412,312.62 × 164,643.64
  4. Step 4: Simplify right side
    298,771x = 67,884,650,574.74
  5. Step 5: Solve for x
    x = 67,884,650,574.74/298,771
  6. Step 6: Final answer
    x = 227,212.98

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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.