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Finding the Fourth Proportional to 278,466.34, 384,283.90 and 151,141.98

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Solution

The fourth proportional to 278,466.34, 384,283.90 and 151,141.98 is: 208,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,466.34 : 384,283.90 = 151,141.98 : x
  2. Step 2: Convert to fraction form
    278,466.34/384,283.90 = 151,141.98/x
  3. Step 3: Cross multiply
    278,466.34x = 384,283.90 × 151,141.98
  4. Step 4: Simplify right side
    278,466.34x = 58,081,429,528.12
  5. Step 5: Solve for x
    x = 58,081,429,528.12/278,466.34
  6. Step 6: Final answer
    x = 208,576.12

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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.