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Finding the Fourth Proportional to 659,834.78, 989,420.00 and 322,369.74

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Solution

The fourth proportional to 659,834.78, 989,420.00 and 322,369.74 is: 483,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,834.78 : 989,420.00 = 322,369.74 : x
  2. Step 2: Convert to fraction form
    659,834.78/989,420.00 = 322,369.74/x
  3. Step 3: Cross multiply
    659,834.78x = 989,420.00 × 322,369.74
  4. Step 4: Simplify right side
    659,834.78x = 318,959,066,538.95
  5. Step 5: Solve for x
    x = 318,959,066,538.95/659,834.78
  6. Step 6: Final answer
    x = 483,392.33

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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.