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Finding the Fourth Proportional to 382,838.98, 528,308.47 and 210,755.55

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Solution

The fourth proportional to 382,838.98, 528,308.47 and 210,755.55 is: 290,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,838.98 : 528,308.47 = 210,755.55 : x
  2. Step 2: Convert to fraction form
    382,838.98/528,308.47 = 210,755.55/x
  3. Step 3: Cross multiply
    382,838.98x = 528,308.47 × 210,755.55
  4. Step 4: Simplify right side
    382,838.98x = 111,343,942,164.51
  5. Step 5: Solve for x
    x = 111,343,942,164.51/382,838.98
  6. Step 6: Final answer
    x = 290,837.53

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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.