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Finding the Fourth Proportional to 551,625.60, 827,339.76 and 146,820

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Solution

The fourth proportional to 551,625.60, 827,339.76 and 146,820 is: 220,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,625.60 : 827,339.76 = 146,820 : x
  2. Step 2: Convert to fraction form
    551,625.60/827,339.76 = 146,820/x
  3. Step 3: Cross multiply
    551,625.60x = 827,339.76 × 146,820
  4. Step 4: Simplify right side
    551,625.60x = 121,470,023,563.20
  5. Step 5: Solve for x
    x = 121,470,023,563.20/551,625.60
  6. Step 6: Final answer
    x = 220,203.75

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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.