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Finding the Fourth Proportional to 289,231.48, 433,745.60 and 86,767.20

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Solution

The fourth proportional to 289,231.48, 433,745.60 and 86,767.20 is: 130,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,231.48 : 433,745.60 = 86,767.20 : x
  2. Step 2: Convert to fraction form
    289,231.48/433,745.60 = 86,767.20/x
  3. Step 3: Cross multiply
    289,231.48x = 433,745.60 × 86,767.20
  4. Step 4: Simplify right side
    289,231.48x = 37,634,891,224.32
  5. Step 5: Solve for x
    x = 37,634,891,224.32/289,231.48
  6. Step 6: Final answer
    x = 130,120.31

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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.