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Finding the Fourth Proportional to 492,146.19, 738,219.65 and 281,636.51

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Solution

The fourth proportional to 492,146.19, 738,219.65 and 281,636.51 is: 422,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,146.19 : 738,219.65 = 281,636.51 : x
  2. Step 2: Convert to fraction form
    492,146.19/738,219.65 = 281,636.51/x
  3. Step 3: Cross multiply
    492,146.19x = 738,219.65 × 281,636.51
  4. Step 4: Simplify right side
    492,146.19x = 207,909,600,740.14
  5. Step 5: Solve for x
    x = 207,909,600,740.14/492,146.19
  6. Step 6: Final answer
    x = 422,454.96

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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.