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Finding the Fourth Proportional to 343,410.30, 515,113.02 and 106,752.60

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Solution

The fourth proportional to 343,410.30, 515,113.02 and 106,752.60 is: 160,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,410.30 : 515,113.02 = 106,752.60 : x
  2. Step 2: Convert to fraction form
    343,410.30/515,113.02 = 106,752.60/x
  3. Step 3: Cross multiply
    343,410.30x = 515,113.02 × 106,752.60
  4. Step 4: Simplify right side
    343,410.30x = 54,989,654,178.85
  5. Step 5: Solve for x
    x = 54,989,654,178.85/343,410.30
  6. Step 6: Final answer
    x = 160,128.14

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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.