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Finding the Fourth Proportional to 431,463.69, 647,529.71 and 347,429.63

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Solution

The fourth proportional to 431,463.69, 647,529.71 and 347,429.63 is: 521,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,463.69 : 647,529.71 = 347,429.63 : x
  2. Step 2: Convert to fraction form
    431,463.69/647,529.71 = 347,429.63/x
  3. Step 3: Cross multiply
    431,463.69x = 647,529.71 × 347,429.63
  4. Step 4: Simplify right side
    431,463.69x = 224,971,007,559.31
  5. Step 5: Solve for x
    x = 224,971,007,559.31/431,463.69
  6. Step 6: Final answer
    x = 521,413.53

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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.