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Finding the Fourth Proportional to 586,660, 809,590.80 and 318,388

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Solution

The fourth proportional to 586,660, 809,590.80 and 318,388 is: 439,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,660 : 809,590.80 = 318,388 : x
  2. Step 2: Convert to fraction form
    586,660/809,590.80 = 318,388/x
  3. Step 3: Cross multiply
    586,660x = 809,590.80 × 318,388
  4. Step 4: Simplify right side
    586,660x = 257,763,995,630.40
  5. Step 5: Solve for x
    x = 257,763,995,630.40/586,660
  6. Step 6: Final answer
    x = 439,375.44

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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.