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Finding the Fourth Proportional to 255,710.61, 383,585.36 and 78,230.97

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Solution

The fourth proportional to 255,710.61, 383,585.36 and 78,230.97 is: 117,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,710.61 : 383,585.36 = 78,230.97 : x
  2. Step 2: Convert to fraction form
    255,710.61/383,585.36 = 78,230.97/x
  3. Step 3: Cross multiply
    255,710.61x = 383,585.36 × 78,230.97
  4. Step 4: Simplify right side
    255,710.61x = 30,008,254,399.44
  5. Step 5: Solve for x
    x = 30,008,254,399.44/255,710.61
  6. Step 6: Final answer
    x = 117,352.40

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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.