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Finding the Fourth Proportional to 388,862, 536,629.60 and 210,014

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Solution

The fourth proportional to 388,862, 536,629.60 and 210,014 is: 289,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,862 : 536,629.60 = 210,014 : x
  2. Step 2: Convert to fraction form
    388,862/536,629.60 = 210,014/x
  3. Step 3: Cross multiply
    388,862x = 536,629.60 × 210,014
  4. Step 4: Simplify right side
    388,862x = 112,699,728,814.40
  5. Step 5: Solve for x
    x = 112,699,728,814.40/388,862
  6. Step 6: Final answer
    x = 289,819.34

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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.