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Finding the Fourth Proportional to 274,423.40, 411,980.70 and 148,164.20

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Solution

The fourth proportional to 274,423.40, 411,980.70 and 148,164.20 is: 222,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,423.40 : 411,980.70 = 148,164.20 : x
  2. Step 2: Convert to fraction form
    274,423.40/411,980.70 = 148,164.20/x
  3. Step 3: Cross multiply
    274,423.40x = 411,980.70 × 148,164.20
  4. Step 4: Simplify right side
    274,423.40x = 61,040,790,830.94
  5. Step 5: Solve for x
    x = 61,040,790,830.94/274,423.40
  6. Step 6: Final answer
    x = 222,432.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.