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Finding the Fourth Proportional to 345,768.96, 518,858.88 and 148,776.96

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Solution

The fourth proportional to 345,768.96, 518,858.88 and 148,776.96 is: 223,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,768.96 : 518,858.88 = 148,776.96 : x
  2. Step 2: Convert to fraction form
    345,768.96/518,858.88 = 148,776.96/x
  3. Step 3: Cross multiply
    345,768.96x = 518,858.88 × 148,776.96
  4. Step 4: Simplify right side
    345,768.96x = 77,194,246,835.40
  5. Step 5: Solve for x
    x = 77,194,246,835.40/345,768.96
  6. Step 6: Final answer
    x = 223,253.84

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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.