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Finding the Fourth Proportional to 286,346.66, 395,356.12 and 178,964.96

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Solution

The fourth proportional to 286,346.66, 395,356.12 and 178,964.96 is: 247,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,346.66 : 395,356.12 = 178,964.96 : x
  2. Step 2: Convert to fraction form
    286,346.66/395,356.12 = 178,964.96/x
  3. Step 3: Cross multiply
    286,346.66x = 395,356.12 × 178,964.96
  4. Step 4: Simplify right side
    286,346.66x = 70,754,892,201.56
  5. Step 5: Solve for x
    x = 70,754,892,201.56/286,346.66
  6. Step 6: Final answer
    x = 247,095.22

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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.