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Finding the Fourth Proportional to 286,852.37, 430,287.66 and 87,174.47

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Solution

The fourth proportional to 286,852.37, 430,287.66 and 87,174.47 is: 130,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,852.37 : 430,287.66 = 87,174.47 : x
  2. Step 2: Convert to fraction form
    286,852.37/430,287.66 = 87,174.47/x
  3. Step 3: Cross multiply
    286,852.37x = 430,287.66 × 87,174.47
  4. Step 4: Simplify right side
    286,852.37x = 37,510,099,783.76
  5. Step 5: Solve for x
    x = 37,510,099,783.76/286,852.37
  6. Step 6: Final answer
    x = 130,764.48

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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.