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Finding the Fourth Proportional to 431,460.69, 647,525.21 and 347,426.63

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Solution

The fourth proportional to 431,460.69, 647,525.21 and 347,426.63 is: 521,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,460.69 : 647,525.21 = 347,426.63 : x
  2. Step 2: Convert to fraction form
    431,460.69/647,525.21 = 347,426.63/x
  3. Step 3: Cross multiply
    431,460.69x = 647,525.21 × 347,426.63
  4. Step 4: Simplify right side
    431,460.69x = 224,967,501,550.34
  5. Step 5: Solve for x
    x = 224,967,501,550.34/431,460.69
  6. Step 6: Final answer
    x = 521,409.03

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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.