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Finding the Fourth Proportional to 345,735.50, 477,115.02 and 186,759.50

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Solution

The fourth proportional to 345,735.50, 477,115.02 and 186,759.50 is: 257,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,735.50 : 477,115.02 = 186,759.50 : x
  2. Step 2: Convert to fraction form
    345,735.50/477,115.02 = 186,759.50/x
  3. Step 3: Cross multiply
    345,735.50x = 477,115.02 × 186,759.50
  4. Step 4: Simplify right side
    345,735.50x = 89,105,762,577.69
  5. Step 5: Solve for x
    x = 89,105,762,577.69/345,735.50
  6. Step 6: Final answer
    x = 257,728.13

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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.