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Finding the Fourth Proportional to 286,378.47, 395,043.08 and 266,104.98

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Solution

The fourth proportional to 286,378.47, 395,043.08 and 266,104.98 is: 367,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,378.47 : 395,043.08 = 266,104.98 : x
  2. Step 2: Convert to fraction form
    286,378.47/395,043.08 = 266,104.98/x
  3. Step 3: Cross multiply
    286,378.47x = 395,043.08 × 266,104.98
  4. Step 4: Simplify right side
    286,378.47x = 105,122,929,572.01
  5. Step 5: Solve for x
    x = 105,122,929,572.01/286,378.47
  6. Step 6: Final answer
    x = 367,076.93

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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.