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Finding the Fourth Proportional to 278,489.84, 384,316.44 and 151,165.40

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Solution

The fourth proportional to 278,489.84, 384,316.44 and 151,165.40 is: 208,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,489.84 : 384,316.44 = 151,165.40 : x
  2. Step 2: Convert to fraction form
    278,489.84/384,316.44 = 151,165.40/x
  3. Step 3: Cross multiply
    278,489.84x = 384,316.44 × 151,165.40
  4. Step 4: Simplify right side
    278,489.84x = 58,095,348,379.18
  5. Step 5: Solve for x
    x = 58,095,348,379.18/278,489.84
  6. Step 6: Final answer
    x = 208,608.50

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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.