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Finding the Fourth Proportional to 458,650.40, 687,975.60 and 440,279.60

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Solution

The fourth proportional to 458,650.40, 687,975.60 and 440,279.60 is: 660,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,650.40 : 687,975.60 = 440,279.60 : x
  2. Step 2: Convert to fraction form
    458,650.40/687,975.60 = 440,279.60/x
  3. Step 3: Cross multiply
    458,650.40x = 687,975.60 × 440,279.60
  4. Step 4: Simplify right side
    458,650.40x = 302,901,621,977.76
  5. Step 5: Solve for x
    x = 302,901,621,977.76/458,650.40
  6. Step 6: Final answer
    x = 660,419.40

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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.