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Finding the Fourth Proportional to 259,798.32, 389,901.33 and 133,433.46

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Solution

The fourth proportional to 259,798.32, 389,901.33 and 133,433.46 is: 200,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,798.32 : 389,901.33 = 133,433.46 : x
  2. Step 2: Convert to fraction form
    259,798.32/389,901.33 = 133,433.46/x
  3. Step 3: Cross multiply
    259,798.32x = 389,901.33 × 133,433.46
  4. Step 4: Simplify right side
    259,798.32x = 52,025,883,520.50
  5. Step 5: Solve for x
    x = 52,025,883,520.50/259,798.32
  6. Step 6: Final answer
    x = 200,254.89

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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.