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Finding the Fourth Proportional to 586,665, 809,597.70 and 318,393

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Solution

The fourth proportional to 586,665, 809,597.70 and 318,393 is: 439,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,665 : 809,597.70 = 318,393 : x
  2. Step 2: Convert to fraction form
    586,665/809,597.70 = 318,393/x
  3. Step 3: Cross multiply
    586,665x = 809,597.70 × 318,393
  4. Step 4: Simplify right side
    586,665x = 257,770,240,496.10
  5. Step 5: Solve for x
    x = 257,770,240,496.10/586,665
  6. Step 6: Final answer
    x = 439,382.34

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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.