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Finding the Fourth Proportional to 509,976.24, 765,130.76 and 243,757.50

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Solution

The fourth proportional to 509,976.24, 765,130.76 and 243,757.50 is: 365,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,976.24 : 765,130.76 = 243,757.50 : x
  2. Step 2: Convert to fraction form
    509,976.24/765,130.76 = 243,757.50/x
  3. Step 3: Cross multiply
    509,976.24x = 765,130.76 × 243,757.50
  4. Step 4: Simplify right side
    509,976.24x = 186,506,361,230.70
  5. Step 5: Solve for x
    x = 186,506,361,230.70/509,976.24
  6. Step 6: Final answer
    x = 365,715.79

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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.