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Finding the Fourth Proportional to 298,394.56, 411,789.74 and 162,432.40

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Solution

The fourth proportional to 298,394.56, 411,789.74 and 162,432.40 is: 224,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,394.56 : 411,789.74 = 162,432.40 : x
  2. Step 2: Convert to fraction form
    298,394.56/411,789.74 = 162,432.40/x
  3. Step 3: Cross multiply
    298,394.56x = 411,789.74 × 162,432.40
  4. Step 4: Simplify right side
    298,394.56x = 66,887,994,531.06
  5. Step 5: Solve for x
    x = 66,887,994,531.06/298,394.56
  6. Step 6: Final answer
    x = 224,159.57

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1.5x scale

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.