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Finding the Fourth Proportional to 509,409.40, 702,766.92 and 318,090.64

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Solution

The fourth proportional to 509,409.40, 702,766.92 and 318,090.64 is: 438,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,409.40 : 702,766.92 = 318,090.64 : x
  2. Step 2: Convert to fraction form
    509,409.40/702,766.92 = 318,090.64/x
  3. Step 3: Cross multiply
    509,409.40x = 702,766.92 × 318,090.64
  4. Step 4: Simplify right side
    509,409.40x = 223,543,579,353.63
  5. Step 5: Solve for x
    x = 223,543,579,353.63/509,409.40
  6. Step 6: Final answer
    x = 438,828.92

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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.