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Finding the Fourth Proportional to 509,414.60, 702,995.54 and 318,539.72

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Solution

The fourth proportional to 509,414.60, 702,995.54 and 318,539.72 is: 439,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,414.60 : 702,995.54 = 318,539.72 : x
  2. Step 2: Convert to fraction form
    509,414.60/702,995.54 = 318,539.72/x
  3. Step 3: Cross multiply
    509,414.60x = 702,995.54 × 318,539.72
  4. Step 4: Simplify right side
    509,414.60x = 223,932,002,472.85
  5. Step 5: Solve for x
    x = 223,932,002,472.85/509,414.60
  6. Step 6: Final answer
    x = 439,586.93

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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.