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Finding the Fourth Proportional to 388,914, 536,701.68 and 210,066

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Solution

The fourth proportional to 388,914, 536,701.68 and 210,066 is: 289,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,914 : 536,701.68 = 210,066 : x
  2. Step 2: Convert to fraction form
    388,914/536,701.68 = 210,066/x
  3. Step 3: Cross multiply
    388,914x = 536,701.68 × 210,066
  4. Step 4: Simplify right side
    388,914x = 112,742,775,110.88
  5. Step 5: Solve for x
    x = 112,742,775,110.88/388,914
  6. Step 6: Final answer
    x = 289,891.27

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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.