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Finding the Fourth Proportional to 256,816.84, 385,224.16 and 69,827.80

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Solution

The fourth proportional to 256,816.84, 385,224.16 and 69,827.80 is: 104,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,816.84 : 385,224.16 = 69,827.80 : x
  2. Step 2: Convert to fraction form
    256,816.84/385,224.16 = 69,827.80/x
  3. Step 3: Cross multiply
    256,816.84x = 385,224.16 × 69,827.80
  4. Step 4: Simplify right side
    256,816.84x = 26,899,355,599.65
  5. Step 5: Solve for x
    x = 26,899,355,599.65/256,816.84
  6. Step 6: Final answer
    x = 104,741.40

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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.