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Finding the Fourth Proportional to 260,004, 390,006 and 63,012

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Solution

The fourth proportional to 260,004, 390,006 and 63,012 is: 94,518

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,004 : 390,006 = 63,012 : x
  2. Step 2: Convert to fraction form
    260,004/390,006 = 63,012/x
  3. Step 3: Cross multiply
    260,004x = 390,006 × 63,012
  4. Step 4: Simplify right side
    260,004x = 24,575,058,072
  5. Step 5: Solve for x
    x = 24,575,058,072/260,004
  6. Step 6: Final answer
    x = 94,518

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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.