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Finding the Fourth Proportional to 547,607, 821,410.50 and 173,630

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Solution

The fourth proportional to 547,607, 821,410.50 and 173,630 is: 260,445

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,607 : 821,410.50 = 173,630 : x
  2. Step 2: Convert to fraction form
    547,607/821,410.50 = 173,630/x
  3. Step 3: Cross multiply
    547,607x = 821,410.50 × 173,630
  4. Step 4: Simplify right side
    547,607x = 142,621,505,115
  5. Step 5: Solve for x
    x = 142,621,505,115/547,607
  6. Step 6: Final answer
    x = 260,445

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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.