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Finding the Fourth Proportional to 254,406.78, 381,111.36 and 147,566.29

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Solution

The fourth proportional to 254,406.78, 381,111.36 and 147,566.29 is: 221,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,406.78 : 381,111.36 = 147,566.29 : x
  2. Step 2: Convert to fraction form
    254,406.78/381,111.36 = 147,566.29/x
  3. Step 3: Cross multiply
    254,406.78x = 381,111.36 × 147,566.29
  4. Step 4: Simplify right side
    254,406.78x = 56,239,189,472.05
  5. Step 5: Solve for x
    x = 56,239,189,472.05/254,406.78
  6. Step 6: Final answer
    x = 221,060.10

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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.