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Finding the Fourth Proportional to 523,674, 722,670.12 and 285,210

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Solution

The fourth proportional to 523,674, 722,670.12 and 285,210 is: 393,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,674 : 722,670.12 = 285,210 : x
  2. Step 2: Convert to fraction form
    523,674/722,670.12 = 285,210/x
  3. Step 3: Cross multiply
    523,674x = 722,670.12 × 285,210
  4. Step 4: Simplify right side
    523,674x = 206,112,744,925.20
  5. Step 5: Solve for x
    x = 206,112,744,925.20/523,674
  6. Step 6: Final answer
    x = 393,589.80

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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.