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Finding the Fourth Proportional to 523,716, 722,728.08 and 285,252

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Solution

The fourth proportional to 523,716, 722,728.08 and 285,252 is: 393,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,716 : 722,728.08 = 285,252 : x
  2. Step 2: Convert to fraction form
    523,716/722,728.08 = 285,252/x
  3. Step 3: Cross multiply
    523,716x = 722,728.08 × 285,252
  4. Step 4: Simplify right side
    523,716x = 206,159,630,276.16
  5. Step 5: Solve for x
    x = 206,159,630,276.16/523,716
  6. Step 6: Final answer
    x = 393,647.76

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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.