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Finding the Fourth Proportional to 509,814, 703,256.36 and 305,810.64

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Solution

The fourth proportional to 509,814, 703,256.36 and 305,810.64 is: 421,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,814 : 703,256.36 = 305,810.64 : x
  2. Step 2: Convert to fraction form
    509,814/703,256.36 = 305,810.64/x
  3. Step 3: Cross multiply
    509,814x = 703,256.36 × 305,810.64
  4. Step 4: Simplify right side
    509,814x = 215,063,277,535.67
  5. Step 5: Solve for x
    x = 215,063,277,535.67/509,814
  6. Step 6: Final answer
    x = 421,846.55

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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.