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Finding the Fourth Proportional to 490,383.60, 735,575.40 and 461,353.20

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Solution

The fourth proportional to 490,383.60, 735,575.40 and 461,353.20 is: 692,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,383.60 : 735,575.40 = 461,353.20 : x
  2. Step 2: Convert to fraction form
    490,383.60/735,575.40 = 461,353.20/x
  3. Step 3: Cross multiply
    490,383.60x = 735,575.40 × 461,353.20
  4. Step 4: Simplify right side
    490,383.60x = 339,360,064,631.28
  5. Step 5: Solve for x
    x = 339,360,064,631.28/490,383.60
  6. Step 6: Final answer
    x = 692,029.80

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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.