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Finding the Fourth Proportional to 613,141.76, 919,899.90 and 313,834.40

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Solution

The fourth proportional to 613,141.76, 919,899.90 and 313,834.40 is: 470,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,141.76 : 919,899.90 = 313,834.40 : x
  2. Step 2: Convert to fraction form
    613,141.76/919,899.90 = 313,834.40/x
  3. Step 3: Cross multiply
    613,141.76x = 919,899.90 × 313,834.40
  4. Step 4: Simplify right side
    613,141.76x = 288,696,233,176.56
  5. Step 5: Solve for x
    x = 288,696,233,176.56/613,141.76
  6. Step 6: Final answer
    x = 470,847.45

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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.