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Finding the Fourth Proportional to 298,288.95, 411,638.81 and 164,152.95

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Solution

The fourth proportional to 298,288.95, 411,638.81 and 164,152.95 is: 226,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,288.95 : 411,638.81 = 164,152.95 : x
  2. Step 2: Convert to fraction form
    298,288.95/411,638.81 = 164,152.95/x
  3. Step 3: Cross multiply
    298,288.95x = 411,638.81 × 164,152.95
  4. Step 4: Simplify right side
    298,288.95x = 67,571,724,995.99
  5. Step 5: Solve for x
    x = 67,571,724,995.99/298,288.95
  6. Step 6: Final answer
    x = 226,531.10

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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.