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Finding the Fourth Proportional to 397,157.81, 548,341.71 and 305,113.17

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Solution

The fourth proportional to 397,157.81, 548,341.71 and 305,113.17 is: 421,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,157.81 : 548,341.71 = 305,113.17 : x
  2. Step 2: Convert to fraction form
    397,157.81/548,341.71 = 305,113.17/x
  3. Step 3: Cross multiply
    397,157.81x = 548,341.71 × 305,113.17
  4. Step 4: Simplify right side
    397,157.81x = 167,306,276,583.23
  5. Step 5: Solve for x
    x = 167,306,276,583.23/397,157.81
  6. Step 6: Final answer
    x = 421,258.93

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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.