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Finding the Fourth Proportional to 278,804.36, 384,737.47 and 157,943.18

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Solution

The fourth proportional to 278,804.36, 384,737.47 and 157,943.18 is: 217,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,804.36 : 384,737.47 = 157,943.18 : x
  2. Step 2: Convert to fraction form
    278,804.36/384,737.47 = 157,943.18/x
  3. Step 3: Cross multiply
    278,804.36x = 384,737.47 × 157,943.18
  4. Step 4: Simplify right side
    278,804.36x = 60,766,657,553.27
  5. Step 5: Solve for x
    x = 60,766,657,553.27/278,804.36
  6. Step 6: Final answer
    x = 217,954.48

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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.