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Finding the Fourth Proportional to 398,003.77, 597,250.40 and 158,075.69

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Solution

The fourth proportional to 398,003.77, 597,250.40 and 158,075.69 is: 237,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,003.77 : 597,250.40 = 158,075.69 : x
  2. Step 2: Convert to fraction form
    398,003.77/597,250.40 = 158,075.69/x
  3. Step 3: Cross multiply
    398,003.77x = 597,250.40 × 158,075.69
  4. Step 4: Simplify right side
    398,003.77x = 94,410,770,971.09
  5. Step 5: Solve for x
    x = 94,410,770,971.09/398,003.77
  6. Step 6: Final answer
    x = 237,210.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.