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Finding the Fourth Proportional to 280,737.94, 387,436.78 and 158,260.54

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Solution

The fourth proportional to 280,737.94, 387,436.78 and 158,260.54 is: 218,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,737.94 : 387,436.78 = 158,260.54 : x
  2. Step 2: Convert to fraction form
    280,737.94/387,436.78 = 158,260.54/x
  3. Step 3: Cross multiply
    280,737.94x = 387,436.78 × 158,260.54
  4. Step 4: Simplify right side
    280,737.94x = 61,315,954,018.66
  5. Step 5: Solve for x
    x = 61,315,954,018.66/280,737.94
  6. Step 6: Final answer
    x = 218,409.93

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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.