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Finding the Fourth Proportional to 285,465.78, 393,914.07 and 158,117.58

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Solution

The fourth proportional to 285,465.78, 393,914.07 and 158,117.58 is: 218,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,465.78 : 393,914.07 = 158,117.58 : x
  2. Step 2: Convert to fraction form
    285,465.78/393,914.07 = 158,117.58/x
  3. Step 3: Cross multiply
    285,465.78x = 393,914.07 × 158,117.58
  4. Step 4: Simplify right side
    285,465.78x = 62,284,739,476.35
  5. Step 5: Solve for x
    x = 62,284,739,476.35/285,465.78
  6. Step 6: Final answer
    x = 218,186.36

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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.