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Finding the Fourth Proportional to 315,822, 435,533.16 and 206,763.60

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Solution

The fourth proportional to 315,822, 435,533.16 and 206,763.60 is: 285,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,822 : 435,533.16 = 206,763.60 : x
  2. Step 2: Convert to fraction form
    315,822/435,533.16 = 206,763.60/x
  3. Step 3: Cross multiply
    315,822x = 435,533.16 × 206,763.60
  4. Step 4: Simplify right side
    315,822x = 90,052,404,080.98
  5. Step 5: Solve for x
    x = 90,052,404,080.98/315,822
  6. Step 6: Final answer
    x = 285,136.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.