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Finding the Fourth Proportional to 385,272, 531,675.36 and 251,136

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Solution

The fourth proportional to 385,272, 531,675.36 and 251,136 is: 346,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,272 : 531,675.36 = 251,136 : x
  2. Step 2: Convert to fraction form
    385,272/531,675.36 = 251,136/x
  3. Step 3: Cross multiply
    385,272x = 531,675.36 × 251,136
  4. Step 4: Simplify right side
    385,272x = 133,522,823,208.96
  5. Step 5: Solve for x
    x = 133,522,823,208.96/385,272
  6. Step 6: Final answer
    x = 346,567.68

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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.