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Finding the Fourth Proportional to 278,409.35, 384,204.90 and 151,084.95

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Solution

The fourth proportional to 278,409.35, 384,204.90 and 151,084.95 is: 208,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,409.35 : 384,204.90 = 151,084.95 : x
  2. Step 2: Convert to fraction form
    278,409.35/384,204.90 = 151,084.95/x
  3. Step 3: Cross multiply
    278,409.35x = 384,204.90 × 151,084.95
  4. Step 4: Simplify right side
    278,409.35x = 58,047,575,957.28
  5. Step 5: Solve for x
    x = 58,047,575,957.28/278,409.35
  6. Step 6: Final answer
    x = 208,497.22

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1.5x scale

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.