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Finding the Fourth Proportional to 649,403.73, 974,212.21 and 200,124.67

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Solution

The fourth proportional to 649,403.73, 974,212.21 and 200,124.67 is: 300,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,403.73 : 974,212.21 = 200,124.67 : x
  2. Step 2: Convert to fraction form
    649,403.73/974,212.21 = 200,124.67/x
  3. Step 3: Cross multiply
    649,403.73x = 974,212.21 × 200,124.67
  4. Step 4: Simplify right side
    649,403.73x = 194,963,897,036.22
  5. Step 5: Solve for x
    x = 194,963,897,036.22/649,403.73
  6. Step 6: Final answer
    x = 300,219.86

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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.