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Finding the Fourth Proportional to 613,683.47, 920,584.67 and 209,160.92

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Solution

The fourth proportional to 613,683.47, 920,584.67 and 209,160.92 is: 313,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,683.47 : 920,584.67 = 209,160.92 : x
  2. Step 2: Convert to fraction form
    613,683.47/920,584.67 = 209,160.92/x
  3. Step 3: Cross multiply
    613,683.47x = 920,584.67 × 209,160.92
  4. Step 4: Simplify right side
    613,683.47x = 192,550,330,866.37
  5. Step 5: Solve for x
    x = 192,550,330,866.37/613,683.47
  6. Step 6: Final answer
    x = 313,761.64

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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.