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Finding the Fourth Proportional to 523,963.36, 723,069.45 and 285,499.36

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Solution

The fourth proportional to 523,963.36, 723,069.45 and 285,499.36 is: 393,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,963.36 : 723,069.45 = 285,499.36 : x
  2. Step 2: Convert to fraction form
    523,963.36/723,069.45 = 285,499.36/x
  3. Step 3: Cross multiply
    523,963.36x = 723,069.45 × 285,499.36
  4. Step 4: Simplify right side
    523,963.36x = 206,435,865,210.55
  5. Step 5: Solve for x
    x = 206,435,865,210.55/523,963.36
  6. Step 6: Final answer
    x = 393,989.12

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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.