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Finding the Fourth Proportional to 586,401.96, 809,236.26 and 318,129.96

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Solution

The fourth proportional to 586,401.96, 809,236.26 and 318,129.96 is: 439,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,401.96 : 809,236.26 = 318,129.96 : x
  2. Step 2: Convert to fraction form
    586,401.96/809,236.26 = 318,129.96/x
  3. Step 3: Cross multiply
    586,401.96x = 809,236.26 × 318,129.96
  4. Step 4: Simplify right side
    586,401.96x = 257,442,299,024.35
  5. Step 5: Solve for x
    x = 257,442,299,024.35/586,401.96
  6. Step 6: Final answer
    x = 439,020.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.