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Finding the Fourth Proportional to 253,741.94, 380,493.70 and 147,156.18

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Solution

The fourth proportional to 253,741.94, 380,493.70 and 147,156.18 is: 220,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,741.94 : 380,493.70 = 147,156.18 : x
  2. Step 2: Convert to fraction form
    253,741.94/380,493.70 = 147,156.18/x
  3. Step 3: Cross multiply
    253,741.94x = 380,493.70 × 147,156.18
  4. Step 4: Simplify right side
    253,741.94x = 55,991,999,406.07
  5. Step 5: Solve for x
    x = 55,991,999,406.07/253,741.94
  6. Step 6: Final answer
    x = 220,665.13

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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.