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Finding the Fourth Proportional to 586,501, 809,375.70 and 318,229

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Solution

The fourth proportional to 586,501, 809,375.70 and 318,229 is: 439,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,501 : 809,375.70 = 318,229 : x
  2. Step 2: Convert to fraction form
    586,501/809,375.70 = 318,229/x
  3. Step 3: Cross multiply
    586,501x = 809,375.70 × 318,229
  4. Step 4: Simplify right side
    586,501x = 257,566,819,635.30
  5. Step 5: Solve for x
    x = 257,566,819,635.30/586,501
  6. Step 6: Final answer
    x = 439,158.36

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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.