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Finding the Fourth Proportional to 286,908.57, 430,204.86 and 118,390.59

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Solution

The fourth proportional to 286,908.57, 430,204.86 and 118,390.59 is: 177,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,908.57 : 430,204.86 = 118,390.59 : x
  2. Step 2: Convert to fraction form
    286,908.57/430,204.86 = 118,390.59/x
  3. Step 3: Cross multiply
    286,908.57x = 430,204.86 × 118,390.59
  4. Step 4: Simplify right side
    286,908.57x = 50,932,207,196.27
  5. Step 5: Solve for x
    x = 50,932,207,196.27/286,908.57
  6. Step 6: Final answer
    x = 177,520.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.