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Finding the Fourth Proportional to 509,223.67, 763,830.64 and 309,599.17

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Solution

The fourth proportional to 509,223.67, 763,830.64 and 309,599.17 is: 464,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,223.67 : 763,830.64 = 309,599.17 : x
  2. Step 2: Convert to fraction form
    509,223.67/763,830.64 = 309,599.17/x
  3. Step 3: Cross multiply
    509,223.67x = 763,830.64 × 309,599.17
  4. Step 4: Simplify right side
    509,223.67x = 236,481,326,797.42
  5. Step 5: Solve for x
    x = 236,481,326,797.42/509,223.67
  6. Step 6: Final answer
    x = 464,395.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.