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Finding the Fourth Proportional to 260,006, 390,009 and 63,014

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Solution

The fourth proportional to 260,006, 390,009 and 63,014 is: 94,521

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,006 : 390,009 = 63,014 : x
  2. Step 2: Convert to fraction form
    260,006/390,009 = 63,014/x
  3. Step 3: Cross multiply
    260,006x = 390,009 × 63,014
  4. Step 4: Simplify right side
    260,006x = 24,576,027,126
  5. Step 5: Solve for x
    x = 24,576,027,126/260,006
  6. Step 6: Final answer
    x = 94,521

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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.