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Finding the Fourth Proportional to 255,718.42, 383,563.80 and 78,225.45

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Solution

The fourth proportional to 255,718.42, 383,563.80 and 78,225.45 is: 117,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,718.42 : 383,563.80 = 78,225.45 : x
  2. Step 2: Convert to fraction form
    255,718.42/383,563.80 = 78,225.45/x
  3. Step 3: Cross multiply
    255,718.42x = 383,563.80 × 78,225.45
  4. Step 4: Simplify right side
    255,718.42x = 30,004,450,858.71
  5. Step 5: Solve for x
    x = 30,004,450,858.71/255,718.42
  6. Step 6: Final answer
    x = 117,333.94

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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.