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Finding the Fourth Proportional to 254,898.42, 382,322.78 and 77,406.98

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Solution

The fourth proportional to 254,898.42, 382,322.78 and 77,406.98 is: 116,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,898.42 : 382,322.78 = 77,406.98 : x
  2. Step 2: Convert to fraction form
    254,898.42/382,322.78 = 77,406.98/x
  3. Step 3: Cross multiply
    254,898.42x = 382,322.78 × 77,406.98
  4. Step 4: Simplify right side
    254,898.42x = 29,594,449,486.36
  5. Step 5: Solve for x
    x = 29,594,449,486.36/254,898.42
  6. Step 6: Final answer
    x = 116,102.91

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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.