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Finding the Fourth Proportional to 345,995.84, 477,292.95 and 300,571.85

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Solution

The fourth proportional to 345,995.84, 477,292.95 and 300,571.85 is: 414,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,995.84 : 477,292.95 = 300,571.85 : x
  2. Step 2: Convert to fraction form
    345,995.84/477,292.95 = 300,571.85/x
  3. Step 3: Cross multiply
    345,995.84x = 477,292.95 × 300,571.85
  4. Step 4: Simplify right side
    345,995.84x = 143,460,824,973.46
  5. Step 5: Solve for x
    x = 143,460,824,973.46/345,995.84
  6. Step 6: Final answer
    x = 414,631.65

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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.