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Finding the Fourth Proportional to 385,274.50, 531,678.81 and 251,138.50

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Solution

The fourth proportional to 385,274.50, 531,678.81 and 251,138.50 is: 346,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,274.50 : 531,678.81 = 251,138.50 : x
  2. Step 2: Convert to fraction form
    385,274.50/531,678.81 = 251,138.50/x
  3. Step 3: Cross multiply
    385,274.50x = 531,678.81 × 251,138.50
  4. Step 4: Simplify right side
    385,274.50x = 133,525,018,825.19
  5. Step 5: Solve for x
    x = 133,525,018,825.19/385,274.50
  6. Step 6: Final answer
    x = 346,571.13

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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.