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Finding the Fourth Proportional to 278,706.63, 384,617.16 and 151,382.28

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Solution

The fourth proportional to 278,706.63, 384,617.16 and 151,382.28 is: 208,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,706.63 : 384,617.16 = 151,382.28 : x
  2. Step 2: Convert to fraction form
    278,706.63/384,617.16 = 151,382.28/x
  3. Step 3: Cross multiply
    278,706.63x = 384,617.16 × 151,382.28
  4. Step 4: Simplify right side
    278,706.63x = 58,224,222,607.92
  5. Step 5: Solve for x
    x = 58,224,222,607.92/278,706.63
  6. Step 6: Final answer
    x = 208,908.64

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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.