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Finding the Fourth Proportional to 298,220, 411,543.60 and 164,084

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Solution

The fourth proportional to 298,220, 411,543.60 and 164,084 is: 226,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,220 : 411,543.60 = 164,084 : x
  2. Step 2: Convert to fraction form
    298,220/411,543.60 = 164,084/x
  3. Step 3: Cross multiply
    298,220x = 411,543.60 × 164,084
  4. Step 4: Simplify right side
    298,220x = 67,527,720,062.40
  5. Step 5: Solve for x
    x = 67,527,720,062.40/298,220
  6. Step 6: Final answer
    x = 226,435.92

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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.