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Finding the Fourth Proportional to 257,597.21, 385,895.48 and 144,933.90

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Solution

The fourth proportional to 257,597.21, 385,895.48 and 144,933.90 is: 217,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,597.21 : 385,895.48 = 144,933.90 : x
  2. Step 2: Convert to fraction form
    257,597.21/385,895.48 = 144,933.90/x
  3. Step 3: Cross multiply
    257,597.21x = 385,895.48 × 144,933.90
  4. Step 4: Simplify right side
    257,597.21x = 55,929,336,184.10
  5. Step 5: Solve for x
    x = 55,929,336,184.10/257,597.21
  6. Step 6: Final answer
    x = 217,119.34

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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.