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Finding the Fourth Proportional to 522,047.40, 782,994.30 and 148,108.20

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Solution

The fourth proportional to 522,047.40, 782,994.30 and 148,108.20 is: 222,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,047.40 : 782,994.30 = 148,108.20 : x
  2. Step 2: Convert to fraction form
    522,047.40/782,994.30 = 148,108.20/x
  3. Step 3: Cross multiply
    522,047.40x = 782,994.30 × 148,108.20
  4. Step 4: Simplify right side
    522,047.40x = 115,967,876,383.26
  5. Step 5: Solve for x
    x = 115,967,876,383.26/522,047.40
  6. Step 6: Final answer
    x = 222,140.51

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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.