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Finding the Fourth Proportional to 256,011.66, 384,019.77 and 78,519.50

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Solution

The fourth proportional to 256,011.66, 384,019.77 and 78,519.50 is: 117,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,011.66 : 384,019.77 = 78,519.50 : x
  2. Step 2: Convert to fraction form
    256,011.66/384,019.77 = 78,519.50/x
  3. Step 3: Cross multiply
    256,011.66x = 384,019.77 × 78,519.50
  4. Step 4: Simplify right side
    256,011.66x = 30,153,040,330.52
  5. Step 5: Solve for x
    x = 30,153,040,330.52/256,011.66
  6. Step 6: Final answer
    x = 117,779.95

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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.