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Finding the Fourth Proportional to 257,051.70, 385,577.55 and 162,573.30

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Solution

The fourth proportional to 257,051.70, 385,577.55 and 162,573.30 is: 243,859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,051.70 : 385,577.55 = 162,573.30 : x
  2. Step 2: Convert to fraction form
    257,051.70/385,577.55 = 162,573.30/x
  3. Step 3: Cross multiply
    257,051.70x = 385,577.55 × 162,573.30
  4. Step 4: Simplify right side
    257,051.70x = 62,684,614,709.42
  5. Step 5: Solve for x
    x = 62,684,614,709.42/257,051.70
  6. Step 6: Final answer
    x = 243,859.95

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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.