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Finding the Fourth Proportional to 285,411, 393,867.21 and 158,094.78

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Solution

The fourth proportional to 285,411, 393,867.21 and 158,094.78 is: 218,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,411 : 393,867.21 = 158,094.78 : x
  2. Step 2: Convert to fraction form
    285,411/393,867.21 = 158,094.78/x
  3. Step 3: Cross multiply
    285,411x = 393,867.21 × 158,094.78
  4. Step 4: Simplify right side
    285,411x = 62,268,349,914.16
  5. Step 5: Solve for x
    x = 62,268,349,914.16/285,411
  6. Step 6: Final answer
    x = 218,170.81

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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.