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Finding the Fourth Proportional to 255,733.61, 383,599.87 and 78,240.74

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Solution

The fourth proportional to 255,733.61, 383,599.87 and 78,240.74 is: 117,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,733.61 : 383,599.87 = 78,240.74 : x
  2. Step 2: Convert to fraction form
    255,733.61/383,599.87 = 78,240.74/x
  3. Step 3: Cross multiply
    255,733.61x = 383,599.87 × 78,240.74
  4. Step 4: Simplify right side
    255,733.61x = 30,013,135,579.10
  5. Step 5: Solve for x
    x = 30,013,135,579.10/255,733.61
  6. Step 6: Final answer
    x = 117,360.94

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1.5x scale

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.