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Finding the Fourth Proportional to 256,415.65, 384,628.42 and 78,922.48

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Solution

The fourth proportional to 256,415.65, 384,628.42 and 78,922.48 is: 118,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,415.65 : 384,628.42 = 78,922.48 : x
  2. Step 2: Convert to fraction form
    256,415.65/384,628.42 = 78,922.48/x
  3. Step 3: Cross multiply
    256,415.65x = 384,628.42 × 78,922.48
  4. Step 4: Simplify right side
    256,415.65x = 30,355,827,783.34
  5. Step 5: Solve for x
    x = 30,355,827,783.34/256,415.65
  6. Step 6: Final answer
    x = 118,385.24

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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.