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Finding the Fourth Proportional to 256,803.84, 384,644.03 and 130,225.95

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Solution

The fourth proportional to 256,803.84, 384,644.03 and 130,225.95 is: 195,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,803.84 : 384,644.03 = 130,225.95 : x
  2. Step 2: Convert to fraction form
    256,803.84/384,644.03 = 130,225.95/x
  3. Step 3: Cross multiply
    256,803.84x = 384,644.03 × 130,225.95
  4. Step 4: Simplify right side
    256,803.84x = 50,090,633,567.45
  5. Step 5: Solve for x
    x = 50,090,633,567.45/256,803.84
  6. Step 6: Final answer
    x = 195,054.07

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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.