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Finding the Fourth Proportional to 286,411.68, 395,247.96 and 159,099.12

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Solution

The fourth proportional to 286,411.68, 395,247.96 and 159,099.12 is: 219,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,411.68 : 395,247.96 = 159,099.12 : x
  2. Step 2: Convert to fraction form
    286,411.68/395,247.96 = 159,099.12/x
  3. Step 3: Cross multiply
    286,411.68x = 395,247.96 × 159,099.12
  4. Step 4: Simplify right side
    286,411.68x = 62,883,602,617.80
  5. Step 5: Solve for x
    x = 62,883,602,617.80/286,411.68
  6. Step 6: Final answer
    x = 219,556.70

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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.