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Finding the Fourth Proportional to 209,431.80, 314,147.70 and 120,858.30

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Solution

The fourth proportional to 209,431.80, 314,147.70 and 120,858.30 is: 181,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,431.80 : 314,147.70 = 120,858.30 : x
  2. Step 2: Convert to fraction form
    209,431.80/314,147.70 = 120,858.30/x
  3. Step 3: Cross multiply
    209,431.80x = 314,147.70 × 120,858.30
  4. Step 4: Simplify right side
    209,431.80x = 37,967,356,970.91
  5. Step 5: Solve for x
    x = 37,967,356,970.91/209,431.80
  6. Step 6: Final answer
    x = 181,287.45

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1.5x scale

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.