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Finding the Fourth Proportional to 283,321, 390,975.24 and 155,997.28

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Solution

The fourth proportional to 283,321, 390,975.24 and 155,997.28 is: 215,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,321 : 390,975.24 = 155,997.28 : x
  2. Step 2: Convert to fraction form
    283,321/390,975.24 = 155,997.28/x
  3. Step 3: Cross multiply
    283,321x = 390,975.24 × 155,997.28
  4. Step 4: Simplify right side
    283,321x = 60,991,073,987.35
  5. Step 5: Solve for x
    x = 60,991,073,987.35/283,321
  6. Step 6: Final answer
    x = 215,271.98

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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.