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Finding the Fourth Proportional to 256,416.59, 384,629.84 and 78,923.42

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Solution

The fourth proportional to 256,416.59, 384,629.84 and 78,923.42 is: 118,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,416.59 : 384,629.84 = 78,923.42 : x
  2. Step 2: Convert to fraction form
    256,416.59/384,629.84 = 78,923.42/x
  3. Step 3: Cross multiply
    256,416.59x = 384,629.84 × 78,923.42
  4. Step 4: Simplify right side
    256,416.59x = 30,356,300,089.09
  5. Step 5: Solve for x
    x = 30,356,300,089.09/256,416.59
  6. Step 6: Final answer
    x = 118,386.64

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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.