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Finding the Fourth Proportional to 286,364.16, 395,171.46 and 159,047.82

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Solution

The fourth proportional to 286,364.16, 395,171.46 and 159,047.82 is: 219,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,364.16 : 395,171.46 = 159,047.82 : x
  2. Step 2: Convert to fraction form
    286,364.16/395,171.46 = 159,047.82/x
  3. Step 3: Cross multiply
    286,364.16x = 395,171.46 × 159,047.82
  4. Step 4: Simplify right side
    286,364.16x = 62,851,159,239.22
  5. Step 5: Solve for x
    x = 62,851,159,239.22/286,364.16
  6. Step 6: Final answer
    x = 219,479.84

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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.