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Finding the Fourth Proportional to 470,078.60, 705,117.90 and 449,601.80

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Solution

The fourth proportional to 470,078.60, 705,117.90 and 449,601.80 is: 674,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,078.60 : 705,117.90 = 449,601.80 : x
  2. Step 2: Convert to fraction form
    470,078.60/705,117.90 = 449,601.80/x
  3. Step 3: Cross multiply
    470,078.60x = 705,117.90 × 449,601.80
  4. Step 4: Simplify right side
    470,078.60x = 317,022,277,052.22
  5. Step 5: Solve for x
    x = 317,022,277,052.22/470,078.60
  6. Step 6: Final answer
    x = 674,402.70

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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.