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Finding the Fourth Proportional to 649,407.43, 974,202.59 and 200,164.51

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Solution

The fourth proportional to 649,407.43, 974,202.59 and 200,164.51 is: 300,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,407.43 : 974,202.59 = 200,164.51 : x
  2. Step 2: Convert to fraction form
    649,407.43/974,202.59 = 200,164.51/x
  3. Step 3: Cross multiply
    649,407.43x = 974,202.59 × 200,164.51
  4. Step 4: Simplify right side
    649,407.43x = 195,000,784,068.08
  5. Step 5: Solve for x
    x = 195,000,784,068.08/649,407.43
  6. Step 6: Final answer
    x = 300,274.95

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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.