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Finding the Fourth Proportional to 254,653.66, 381,455.61 and 149,152.78

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Solution

The fourth proportional to 254,653.66, 381,455.61 and 149,152.78 is: 223,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,653.66 : 381,455.61 = 149,152.78 : x
  2. Step 2: Convert to fraction form
    254,653.66/381,455.61 = 149,152.78/x
  3. Step 3: Cross multiply
    254,653.66x = 381,455.61 × 149,152.78
  4. Step 4: Simplify right side
    254,653.66x = 56,895,164,678.10
  5. Step 5: Solve for x
    x = 56,895,164,678.10/254,653.66
  6. Step 6: Final answer
    x = 223,421.74

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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.