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Finding the Fourth Proportional to 278,996.63, 384,999 and 151,671.11

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Solution

The fourth proportional to 278,996.63, 384,999 and 151,671.11 is: 209,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,996.63 : 384,999 = 151,671.11 : x
  2. Step 2: Convert to fraction form
    278,996.63/384,999 = 151,671.11/x
  3. Step 3: Cross multiply
    278,996.63x = 384,999 × 151,671.11
  4. Step 4: Simplify right side
    278,996.63x = 58,393,225,678.89
  5. Step 5: Solve for x
    x = 58,393,225,678.89/278,996.63
  6. Step 6: Final answer
    x = 209,297.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.