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Finding the Fourth Proportional to 285,054.21, 427,728.87 and 206,814.24

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Solution

The fourth proportional to 285,054.21, 427,728.87 and 206,814.24 is: 310,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,054.21 : 427,728.87 = 206,814.24 : x
  2. Step 2: Convert to fraction form
    285,054.21/427,728.87 = 206,814.24/x
  3. Step 3: Cross multiply
    285,054.21x = 427,728.87 × 206,814.24
  4. Step 4: Simplify right side
    285,054.21x = 88,460,421,175.11
  5. Step 5: Solve for x
    x = 88,460,421,175.11/285,054.21
  6. Step 6: Final answer
    x = 310,328.41

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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.