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Finding the Fourth Proportional to 520,262.44, 780,393.96 and 146,285.44

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Solution

The fourth proportional to 520,262.44, 780,393.96 and 146,285.44 is: 219,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,262.44 : 780,393.96 = 146,285.44 : x
  2. Step 2: Convert to fraction form
    520,262.44/780,393.96 = 146,285.44/x
  3. Step 3: Cross multiply
    520,262.44x = 780,393.96 × 146,285.44
  4. Step 4: Simplify right side
    520,262.44x = 114,160,271,860.96
  5. Step 5: Solve for x
    x = 114,160,271,860.96/520,262.44
  6. Step 6: Final answer
    x = 219,428.24

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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.