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Finding the Fourth Proportional to 486,245.10, 729,039.60 and 233,646.60

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Solution

The fourth proportional to 486,245.10, 729,039.60 and 233,646.60 is: 350,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,245.10 : 729,039.60 = 233,646.60 : x
  2. Step 2: Convert to fraction form
    486,245.10/729,039.60 = 233,646.60/x
  3. Step 3: Cross multiply
    486,245.10x = 729,039.60 × 233,646.60
  4. Step 4: Simplify right side
    486,245.10x = 170,337,623,805.36
  5. Step 5: Solve for x
    x = 170,337,623,805.36/486,245.10
  6. Step 6: Final answer
    x = 350,312.27

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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.