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Finding the Fourth Proportional to 255,688.97, 383,548.57 and 78,208.25

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Solution

The fourth proportional to 255,688.97, 383,548.57 and 78,208.25 is: 117,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,688.97 : 383,548.57 = 78,208.25 : x
  2. Step 2: Convert to fraction form
    255,688.97/383,548.57 = 78,208.25/x
  3. Step 3: Cross multiply
    255,688.97x = 383,548.57 × 78,208.25
  4. Step 4: Simplify right side
    255,688.97x = 29,996,660,336.44
  5. Step 5: Solve for x
    x = 29,996,660,336.44/255,688.97
  6. Step 6: Final answer
    x = 117,316.99

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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.