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Finding the Fourth Proportional to 649,455.36, 974,280 and 200,138.88

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Solution

The fourth proportional to 649,455.36, 974,280 and 200,138.88 is: 300,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,455.36 : 974,280 = 200,138.88 : x
  2. Step 2: Convert to fraction form
    649,455.36/974,280 = 200,138.88/x
  3. Step 3: Cross multiply
    649,455.36x = 974,280 × 200,138.88
  4. Step 4: Simplify right side
    649,455.36x = 194,991,308,006.40
  5. Step 5: Solve for x
    x = 194,991,308,006.40/649,455.36
  6. Step 6: Final answer
    x = 300,238.20

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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.