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Finding the Fourth Proportional to 827,407.60, 1,241,725.80 and 329,129.20

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Solution

The fourth proportional to 827,407.60, 1,241,725.80 and 329,129.20 is: 493,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,407.60 : 1,241,725.80 = 329,129.20 : x
  2. Step 2: Convert to fraction form
    827,407.60/1,241,725.80 = 329,129.20/x
  3. Step 3: Cross multiply
    827,407.60x = 1,241,725.80 × 329,129.20
  4. Step 4: Simplify right side
    827,407.60x = 408,688,219,173.36
  5. Step 5: Solve for x
    x = 408,688,219,173.36/827,407.60
  6. Step 6: Final answer
    x = 493,938.20

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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.