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Finding the Fourth Proportional to 255,746.57, 383,606.21 and 78,253.70

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Solution

The fourth proportional to 255,746.57, 383,606.21 and 78,253.70 is: 117,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,746.57 : 383,606.21 = 78,253.70 : x
  2. Step 2: Convert to fraction form
    255,746.57/383,606.21 = 78,253.70/x
  3. Step 3: Cross multiply
    255,746.57x = 383,606.21 × 78,253.70
  4. Step 4: Simplify right side
    255,746.57x = 30,018,603,553.08
  5. Step 5: Solve for x
    x = 30,018,603,553.08/255,746.57
  6. Step 6: Final answer
    x = 117,376.37

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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.