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Finding the Fourth Proportional to 288,735.06, 398,266.67 and 185,205.42

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Solution

The fourth proportional to 288,735.06, 398,266.67 and 185,205.42 is: 255,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,735.06 : 398,266.67 = 185,205.42 : x
  2. Step 2: Convert to fraction form
    288,735.06/398,266.67 = 185,205.42/x
  3. Step 3: Cross multiply
    288,735.06x = 398,266.67 × 185,205.42
  4. Step 4: Simplify right side
    288,735.06x = 73,761,146,352.37
  5. Step 5: Solve for x
    x = 73,761,146,352.37/288,735.06
  6. Step 6: Final answer
    x = 255,463.07

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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.