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Finding the Fourth Proportional to 586,633, 809,563.26 and 318,361

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Solution

The fourth proportional to 586,633, 809,563.26 and 318,361 is: 439,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,633 : 809,563.26 = 318,361 : x
  2. Step 2: Convert to fraction form
    586,633/809,563.26 = 318,361/x
  3. Step 3: Cross multiply
    586,633x = 809,563.26 × 318,361
  4. Step 4: Simplify right side
    586,633x = 257,733,369,016.86
  5. Step 5: Solve for x
    x = 257,733,369,016.86/586,633
  6. Step 6: Final answer
    x = 439,343.45

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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.