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Finding the Fourth Proportional to 586,518, 809,394.84 and 318,246

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Solution

The fourth proportional to 586,518, 809,394.84 and 318,246 is: 439,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,518 : 809,394.84 = 318,246 : x
  2. Step 2: Convert to fraction form
    586,518/809,394.84 = 318,246/x
  3. Step 3: Cross multiply
    586,518x = 809,394.84 × 318,246
  4. Step 4: Simplify right side
    586,518x = 257,586,670,250.64
  5. Step 5: Solve for x
    x = 257,586,670,250.64/586,518
  6. Step 6: Final answer
    x = 439,179.48

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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.