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Finding the Fourth Proportional to 286,492.94, 395,366.84 and 157,439.44

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Solution

The fourth proportional to 286,492.94, 395,366.84 and 157,439.44 is: 217,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,492.94 : 395,366.84 = 157,439.44 : x
  2. Step 2: Convert to fraction form
    286,492.94/395,366.84 = 157,439.44/x
  3. Step 3: Cross multiply
    286,492.94x = 395,366.84 × 157,439.44
  4. Step 4: Simplify right side
    286,492.94x = 62,246,333,884.17
  5. Step 5: Solve for x
    x = 62,246,333,884.17/286,492.94
  6. Step 6: Final answer
    x = 217,270.04

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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.