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Finding the Fourth Proportional to 546,122, 819,321.28 and 152,138

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Solution

The fourth proportional to 546,122, 819,321.28 and 152,138 is: 228,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,122 : 819,321.28 = 152,138 : x
  2. Step 2: Convert to fraction form
    546,122/819,321.28 = 152,138/x
  3. Step 3: Cross multiply
    546,122x = 819,321.28 × 152,138
  4. Step 4: Simplify right side
    546,122x = 124,649,900,896.64
  5. Step 5: Solve for x
    x = 124,649,900,896.64/546,122
  6. Step 6: Final answer
    x = 228,245.52

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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.