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Finding the Fourth Proportional to 656,991.93, 984,209.72 and 431,667.75

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Solution

The fourth proportional to 656,991.93, 984,209.72 and 431,667.75 is: 646,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,991.93 : 984,209.72 = 431,667.75 : x
  2. Step 2: Convert to fraction form
    656,991.93/984,209.72 = 431,667.75/x
  3. Step 3: Cross multiply
    656,991.93x = 984,209.72 × 431,667.75
  4. Step 4: Simplify right side
    656,991.93x = 424,851,596,892.98
  5. Step 5: Solve for x
    x = 424,851,596,892.98/656,991.93
  6. Step 6: Final answer
    x = 646,661.82

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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.