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Finding the Fourth Proportional to 263,777.72, 364,014.30 and 142,918.63

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Solution

The fourth proportional to 263,777.72, 364,014.30 and 142,918.63 is: 197,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,777.72 : 364,014.30 = 142,918.63 : x
  2. Step 2: Convert to fraction form
    263,777.72/364,014.30 = 142,918.63/x
  3. Step 3: Cross multiply
    263,777.72x = 364,014.30 × 142,918.63
  4. Step 4: Simplify right side
    263,777.72x = 52,024,424,682.32
  5. Step 5: Solve for x
    x = 52,024,424,682.32/263,777.72
  6. Step 6: Final answer
    x = 197,228.28

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1.5x scale

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.