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Finding the Fourth Proportional to 289,636.58, 434,348.31 and 100,048.70

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Solution

The fourth proportional to 289,636.58, 434,348.31 and 100,048.70 is: 150,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,636.58 : 434,348.31 = 100,048.70 : x
  2. Step 2: Convert to fraction form
    289,636.58/434,348.31 = 100,048.70/x
  3. Step 3: Cross multiply
    289,636.58x = 434,348.31 × 100,048.70
  4. Step 4: Simplify right side
    289,636.58x = 43,455,983,762.70
  5. Step 5: Solve for x
    x = 43,455,983,762.70/289,636.58
  6. Step 6: Final answer
    x = 150,036.24

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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.