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Finding the Fourth Proportional to 385,957.10, 531,955.83 and 256,664.48

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Solution

The fourth proportional to 385,957.10, 531,955.83 and 256,664.48 is: 353,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,957.10 : 531,955.83 = 256,664.48 : x
  2. Step 2: Convert to fraction form
    385,957.10/531,955.83 = 256,664.48/x
  3. Step 3: Cross multiply
    385,957.10x = 531,955.83 × 256,664.48
  4. Step 4: Simplify right side
    385,957.10x = 136,534,167,063.01
  5. Step 5: Solve for x
    x = 136,534,167,063.01/385,957.10
  6. Step 6: Final answer
    x = 353,754.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.