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Finding the Fourth Proportional to 524,185.31, 786,190.36 and 145,144.34

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Solution

The fourth proportional to 524,185.31, 786,190.36 and 145,144.34 is: 217,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,185.31 : 786,190.36 = 145,144.34 : x
  2. Step 2: Convert to fraction form
    524,185.31/786,190.36 = 145,144.34/x
  3. Step 3: Cross multiply
    524,185.31x = 786,190.36 × 145,144.34
  4. Step 4: Simplify right side
    524,185.31x = 114,111,080,916.56
  5. Step 5: Solve for x
    x = 114,111,080,916.56/524,185.31
  6. Step 6: Final answer
    x = 217,692.25

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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.