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Finding the Fourth Proportional to 978,755.40, 1,467,404.10 and 505,780.20

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Solution

The fourth proportional to 978,755.40, 1,467,404.10 and 505,780.20 is: 758,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,755.40 : 1,467,404.10 = 505,780.20 : x
  2. Step 2: Convert to fraction form
    978,755.40/1,467,404.10 = 505,780.20/x
  3. Step 3: Cross multiply
    978,755.40x = 1,467,404.10 × 505,780.20
  4. Step 4: Simplify right side
    978,755.40x = 742,183,939,178.82
  5. Step 5: Solve for x
    x = 742,183,939,178.82/978,755.40
  6. Step 6: Final answer
    x = 758,293.58

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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.