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Finding the Fourth Proportional to 200,521.79, 300,784.39 and 160,441.45

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Solution

The fourth proportional to 200,521.79, 300,784.39 and 160,441.45 is: 240,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,521.79 : 300,784.39 = 160,441.45 : x
  2. Step 2: Convert to fraction form
    200,521.79/300,784.39 = 160,441.45/x
  3. Step 3: Cross multiply
    200,521.79x = 300,784.39 × 160,441.45
  4. Step 4: Simplify right side
    200,521.79x = 48,258,283,668.97
  5. Step 5: Solve for x
    x = 48,258,283,668.97/200,521.79
  6. Step 6: Final answer
    x = 240,663.54

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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.