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Finding the Fourth Proportional to 286,530.84, 395,404.74 and 159,203.16

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Solution

The fourth proportional to 286,530.84, 395,404.74 and 159,203.16 is: 219,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,530.84 : 395,404.74 = 159,203.16 : x
  2. Step 2: Convert to fraction form
    286,530.84/395,404.74 = 159,203.16/x
  3. Step 3: Cross multiply
    286,530.84x = 395,404.74 × 159,203.16
  4. Step 4: Simplify right side
    286,530.84x = 62,949,684,086.98
  5. Step 5: Solve for x
    x = 62,949,684,086.98/286,530.84
  6. Step 6: Final answer
    x = 219,696.02

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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.