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Finding the Fourth Proportional to 382,814.37, 528,274.49 and 210,730.78

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Solution

The fourth proportional to 382,814.37, 528,274.49 and 210,730.78 is: 290,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,814.37 : 528,274.49 = 210,730.78 : x
  2. Step 2: Convert to fraction form
    382,814.37/528,274.49 = 210,730.78/x
  3. Step 3: Cross multiply
    382,814.37x = 528,274.49 × 210,730.78
  4. Step 4: Simplify right side
    382,814.37x = 111,323,696,123.85
  5. Step 5: Solve for x
    x = 111,323,696,123.85/382,814.37
  6. Step 6: Final answer
    x = 290,803.34

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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.