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Finding the Fourth Proportional to 486,094.40, 729,141.60 and 307,635.20

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Solution

The fourth proportional to 486,094.40, 729,141.60 and 307,635.20 is: 461,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,094.40 : 729,141.60 = 307,635.20 : x
  2. Step 2: Convert to fraction form
    486,094.40/729,141.60 = 307,635.20/x
  3. Step 3: Cross multiply
    486,094.40x = 729,141.60 × 307,635.20
  4. Step 4: Simplify right side
    486,094.40x = 224,309,621,944.32
  5. Step 5: Solve for x
    x = 224,309,621,944.32/486,094.40
  6. Step 6: Final answer
    x = 461,452.80

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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.