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Finding the Fourth Proportional to 523,969.36, 723,077.72 and 285,505.36

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Solution

The fourth proportional to 523,969.36, 723,077.72 and 285,505.36 is: 393,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,969.36 : 723,077.72 = 285,505.36 : x
  2. Step 2: Convert to fraction form
    523,969.36/723,077.72 = 285,505.36/x
  3. Step 3: Cross multiply
    523,969.36x = 723,077.72 × 285,505.36
  4. Step 4: Simplify right side
    523,969.36x = 206,442,564,756.58
  5. Step 5: Solve for x
    x = 206,442,564,756.58/523,969.36
  6. Step 6: Final answer
    x = 393,997.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.