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Finding the Fourth Proportional to 532,258.45, 734,406.97 and 305,860.21

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Solution

The fourth proportional to 532,258.45, 734,406.97 and 305,860.21 is: 422,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,258.45 : 734,406.97 = 305,860.21 : x
  2. Step 2: Convert to fraction form
    532,258.45/734,406.97 = 305,860.21/x
  3. Step 3: Cross multiply
    532,258.45x = 734,406.97 × 305,860.21
  4. Step 4: Simplify right side
    532,258.45x = 224,625,864,868.33
  5. Step 5: Solve for x
    x = 224,625,864,868.33/532,258.45
  6. Step 6: Final answer
    x = 422,024.05

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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.