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Finding the Fourth Proportional to 256,002.93, 383,990.02 and 78,509.45

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Solution

The fourth proportional to 256,002.93, 383,990.02 and 78,509.45 is: 117,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,002.93 : 383,990.02 = 78,509.45 : x
  2. Step 2: Convert to fraction form
    256,002.93/383,990.02 = 78,509.45/x
  3. Step 3: Cross multiply
    256,002.93x = 383,990.02 × 78,509.45
  4. Step 4: Simplify right side
    256,002.93x = 30,146,846,039.39
  5. Step 5: Solve for x
    x = 30,146,846,039.39/256,002.93
  6. Step 6: Final answer
    x = 117,759.77

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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.