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Finding the Fourth Proportional to 978,134.20, 1,467,638.70 and 472,499.80

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Solution

The fourth proportional to 978,134.20, 1,467,638.70 and 472,499.80 is: 708,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,134.20 : 1,467,638.70 = 472,499.80 : x
  2. Step 2: Convert to fraction form
    978,134.20/1,467,638.70 = 472,499.80/x
  3. Step 3: Cross multiply
    978,134.20x = 1,467,638.70 × 472,499.80
  4. Step 4: Simplify right side
    978,134.20x = 693,458,992,222.26
  5. Step 5: Solve for x
    x = 693,458,992,222.26/978,134.20
  6. Step 6: Final answer
    x = 708,960.99

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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.