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Finding the Fourth Proportional to 553,791.40, 830,687.10 and 316,939.30

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Solution

The fourth proportional to 553,791.40, 830,687.10 and 316,939.30 is: 475,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,791.40 : 830,687.10 = 316,939.30 : x
  2. Step 2: Convert to fraction form
    553,791.40/830,687.10 = 316,939.30/x
  3. Step 3: Cross multiply
    553,791.40x = 830,687.10 × 316,939.30
  4. Step 4: Simplify right side
    553,791.40x = 263,277,387,993.03
  5. Step 5: Solve for x
    x = 263,277,387,993.03/553,791.40
  6. Step 6: Final answer
    x = 475,408.95

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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.