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Finding the Fourth Proportional to 523,913.50, 723,000.63 and 285,449.50

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Solution

The fourth proportional to 523,913.50, 723,000.63 and 285,449.50 is: 393,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,913.50 : 723,000.63 = 285,449.50 : x
  2. Step 2: Convert to fraction form
    523,913.50/723,000.63 = 285,449.50/x
  3. Step 3: Cross multiply
    523,913.50x = 723,000.63 × 285,449.50
  4. Step 4: Simplify right side
    523,913.50x = 206,380,168,333.19
  5. Step 5: Solve for x
    x = 206,380,168,333.19/523,913.50
  6. Step 6: Final answer
    x = 393,920.31

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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.