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Finding the Fourth Proportional to 509,283.84, 763,920.72 and 309,659.28

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Solution

The fourth proportional to 509,283.84, 763,920.72 and 309,659.28 is: 464,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,283.84 : 763,920.72 = 309,659.28 : x
  2. Step 2: Convert to fraction form
    509,283.84/763,920.72 = 309,659.28/x
  3. Step 3: Cross multiply
    509,283.84x = 763,920.72 × 309,659.28
  4. Step 4: Simplify right side
    509,283.84x = 236,555,140,132.28
  5. Step 5: Solve for x
    x = 236,555,140,132.28/509,283.84
  6. Step 6: Final answer
    x = 464,485.86

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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.