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Finding the Fourth Proportional to 278,486.84, 384,312.30 and 151,162.49

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Solution

The fourth proportional to 278,486.84, 384,312.30 and 151,162.49 is: 208,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,486.84 : 384,312.30 = 151,162.49 : x
  2. Step 2: Convert to fraction form
    278,486.84/384,312.30 = 151,162.49/x
  3. Step 3: Cross multiply
    278,486.84x = 384,312.30 × 151,162.49
  4. Step 4: Simplify right side
    278,486.84x = 58,093,604,205.63
  5. Step 5: Solve for x
    x = 58,093,604,205.63/278,486.84
  6. Step 6: Final answer
    x = 208,604.49

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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.