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Finding the Fourth Proportional to 286,262.88, 395,055.12 and 158,938.50

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Solution

The fourth proportional to 286,262.88, 395,055.12 and 158,938.50 is: 219,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,262.88 : 395,055.12 = 158,938.50 : x
  2. Step 2: Convert to fraction form
    286,262.88/395,055.12 = 158,938.50/x
  3. Step 3: Cross multiply
    286,262.88x = 395,055.12 × 158,938.50
  4. Step 4: Simplify right side
    286,262.88x = 62,789,468,190.12
  5. Step 5: Solve for x
    x = 62,789,468,190.12/286,262.88
  6. Step 6: Final answer
    x = 219,341.98

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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.