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Finding the Fourth Proportional to 298,535, 411,972.39 and 162,570.56

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Solution

The fourth proportional to 298,535, 411,972.39 and 162,570.56 is: 224,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,535 : 411,972.39 = 162,570.56 : x
  2. Step 2: Convert to fraction form
    298,535/411,972.39 = 162,570.56/x
  3. Step 3: Cross multiply
    298,535x = 411,972.39 × 162,570.56
  4. Step 4: Simplify right side
    298,535x = 66,974,582,146.84
  5. Step 5: Solve for x
    x = 66,974,582,146.84/298,535
  6. Step 6: Final answer
    x = 224,344.15

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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.