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Finding the Fourth Proportional to 385,958.61, 531,957.90 and 256,665.98

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Solution

The fourth proportional to 385,958.61, 531,957.90 and 256,665.98 is: 353,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,958.61 : 531,957.90 = 256,665.98 : x
  2. Step 2: Convert to fraction form
    385,958.61/531,957.90 = 256,665.98/x
  3. Step 3: Cross multiply
    385,958.61x = 531,957.90 × 256,665.98
  4. Step 4: Simplify right side
    385,958.61x = 136,535,493,062.45
  5. Step 5: Solve for x
    x = 136,535,493,062.45/385,958.61
  6. Step 6: Final answer
    x = 353,756.83

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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.