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Finding the Fourth Proportional to 509,815, 703,257.74 and 305,811.64

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Solution

The fourth proportional to 509,815, 703,257.74 and 305,811.64 is: 421,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,815 : 703,257.74 = 305,811.64 : x
  2. Step 2: Convert to fraction form
    509,815/703,257.74 = 305,811.64/x
  3. Step 3: Cross multiply
    509,815x = 703,257.74 × 305,811.64
  4. Step 4: Simplify right side
    509,815x = 215,064,402,812.09
  5. Step 5: Solve for x
    x = 215,064,402,812.09/509,815
  6. Step 6: Final answer
    x = 421,847.93

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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.