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Finding the Fourth Proportional to 977,419, 1,465,668.39 and 378,660.52

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Solution

The fourth proportional to 977,419, 1,465,668.39 and 378,660.52 is: 567,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,419 : 1,465,668.39 = 378,660.52 : x
  2. Step 2: Convert to fraction form
    977,419/1,465,668.39 = 378,660.52/x
  3. Step 3: Cross multiply
    977,419x = 1,465,668.39 × 378,660.52
  4. Step 4: Simplify right side
    977,419x = 554,990,754,704.96
  5. Step 5: Solve for x
    x = 554,990,754,704.96/977,419
  6. Step 6: Final answer
    x = 567,812.53

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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.