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Finding the Fourth Proportional to 523,813, 722,827.92 and 308,903.80

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Solution

The fourth proportional to 523,813, 722,827.92 and 308,903.80 is: 426,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,813 : 722,827.92 = 308,903.80 : x
  2. Step 2: Convert to fraction form
    523,813/722,827.92 = 308,903.80/x
  3. Step 3: Cross multiply
    523,813x = 722,827.92 × 308,903.80
  4. Step 4: Simplify right side
    523,813x = 223,284,291,234.10
  5. Step 5: Solve for x
    x = 223,284,291,234.10/523,813
  6. Step 6: Final answer
    x = 426,267.18

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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.