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Finding the Fourth Proportional to 280,991.50, 387,768.64 and 158,485.48

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Solution

The fourth proportional to 280,991.50, 387,768.64 and 158,485.48 is: 218,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,991.50 : 387,768.64 = 158,485.48 : x
  2. Step 2: Convert to fraction form
    280,991.50/387,768.64 = 158,485.48/x
  3. Step 3: Cross multiply
    280,991.50x = 387,768.64 × 158,485.48
  4. Step 4: Simplify right side
    280,991.50x = 61,455,699,039.35
  5. Step 5: Solve for x
    x = 61,455,699,039.35/280,991.50
  6. Step 6: Final answer
    x = 218,710.17

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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.