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Finding the Fourth Proportional to 228,290.67, 314,969.72 and 137,674.35

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Solution

The fourth proportional to 228,290.67, 314,969.72 and 137,674.35 is: 189,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,290.67 : 314,969.72 = 137,674.35 : x
  2. Step 2: Convert to fraction form
    228,290.67/314,969.72 = 137,674.35/x
  3. Step 3: Cross multiply
    228,290.67x = 314,969.72 × 137,674.35
  4. Step 4: Simplify right side
    228,290.67x = 43,363,250,782.31
  5. Step 5: Solve for x
    x = 43,363,250,782.31/228,290.67
  6. Step 6: Final answer
    x = 189,947.54

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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.