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Finding the Fourth Proportional to 509,412.08, 702,992.04 and 318,537.20

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Solution

The fourth proportional to 509,412.08, 702,992.04 and 318,537.20 is: 439,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,412.08 : 702,992.04 = 318,537.20 : x
  2. Step 2: Convert to fraction form
    509,412.08/702,992.04 = 318,537.20/x
  3. Step 3: Cross multiply
    509,412.08x = 702,992.04 × 318,537.20
  4. Step 4: Simplify right side
    509,412.08x = 223,929,116,043.89
  5. Step 5: Solve for x
    x = 223,929,116,043.89/509,412.08
  6. Step 6: Final answer
    x = 439,583.44

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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.