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Finding the Fourth Proportional to 280,739.94, 387,439.54 and 158,262.54

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Solution

The fourth proportional to 280,739.94, 387,439.54 and 158,262.54 is: 218,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,739.94 : 387,439.54 = 158,262.54 : x
  2. Step 2: Convert to fraction form
    280,739.94/387,439.54 = 158,262.54/x
  3. Step 3: Cross multiply
    280,739.94x = 387,439.54 × 158,262.54
  4. Step 4: Simplify right side
    280,739.94x = 61,317,165,696.83
  5. Step 5: Solve for x
    x = 61,317,165,696.83/280,739.94
  6. Step 6: Final answer
    x = 218,412.69

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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.