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Finding the Fourth Proportional to 385,192, 531,638.40 and 258,089.28

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Solution

The fourth proportional to 385,192, 531,638.40 and 258,089.28 is: 356,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,192 : 531,638.40 = 258,089.28 : x
  2. Step 2: Convert to fraction form
    385,192/531,638.40 = 258,089.28/x
  3. Step 3: Cross multiply
    385,192x = 531,638.40 × 258,089.28
  4. Step 4: Simplify right side
    385,192x = 137,210,171,876.35
  5. Step 5: Solve for x
    x = 137,210,171,876.35/385,192
  6. Step 6: Final answer
    x = 356,212.41

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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.