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Finding the Fourth Proportional to 298,356, 411,731.28 and 164,220

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Solution

The fourth proportional to 298,356, 411,731.28 and 164,220 is: 226,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,356 : 411,731.28 = 164,220 : x
  2. Step 2: Convert to fraction form
    298,356/411,731.28 = 164,220/x
  3. Step 3: Cross multiply
    298,356x = 411,731.28 × 164,220
  4. Step 4: Simplify right side
    298,356x = 67,614,510,801.60
  5. Step 5: Solve for x
    x = 67,614,510,801.60/298,356
  6. Step 6: Final answer
    x = 226,623.60

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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.