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Finding the Fourth Proportional to 285,055.74, 393,418.44 and 164,173.50

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Solution

The fourth proportional to 285,055.74, 393,418.44 and 164,173.50 is: 226,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,055.74 : 393,418.44 = 164,173.50 : x
  2. Step 2: Convert to fraction form
    285,055.74/393,418.44 = 164,173.50/x
  3. Step 3: Cross multiply
    285,055.74x = 393,418.44 × 164,173.50
  4. Step 4: Simplify right side
    285,055.74x = 64,588,882,259.34
  5. Step 5: Solve for x
    x = 64,588,882,259.34/285,055.74
  6. Step 6: Final answer
    x = 226,583.34

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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.