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Finding the Fourth Proportional to 978,024.51, 1,466,912.16 and 378,575.55

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Solution

The fourth proportional to 978,024.51, 1,466,912.16 and 378,575.55 is: 567,815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,024.51 : 1,466,912.16 = 378,575.55 : x
  2. Step 2: Convert to fraction form
    978,024.51/1,466,912.16 = 378,575.55/x
  3. Step 3: Cross multiply
    978,024.51x = 1,466,912.16 × 378,575.55
  4. Step 4: Simplify right side
    978,024.51x = 555,337,077,773.69
  5. Step 5: Solve for x
    x = 555,337,077,773.69/978,024.51
  6. Step 6: Final answer
    x = 567,815.09

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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.