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Finding the Fourth Proportional to 586,604.50, 809,514.24 and 318,332.50

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Solution

The fourth proportional to 586,604.50, 809,514.24 and 318,332.50 is: 439,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,604.50 : 809,514.24 = 318,332.50 : x
  2. Step 2: Convert to fraction form
    586,604.50/809,514.24 = 318,332.50/x
  3. Step 3: Cross multiply
    586,604.50x = 809,514.24 × 318,332.50
  4. Step 4: Simplify right side
    586,604.50x = 257,694,691,804.80
  5. Step 5: Solve for x
    x = 257,694,691,804.80/586,604.50
  6. Step 6: Final answer
    x = 439,298.87

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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.