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Finding the Fourth Proportional to 260,014, 390,021 and 63,022

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Solution

The fourth proportional to 260,014, 390,021 and 63,022 is: 94,533

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,014 : 390,021 = 63,022 : x
  2. Step 2: Convert to fraction form
    260,014/390,021 = 63,022/x
  3. Step 3: Cross multiply
    260,014x = 390,021 × 63,022
  4. Step 4: Simplify right side
    260,014x = 24,579,903,462
  5. Step 5: Solve for x
    x = 24,579,903,462/260,014
  6. Step 6: Final answer
    x = 94,533

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.