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Finding the Fourth Proportional to 523,984.95, 722,861.82 and 309,024.72

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Solution

The fourth proportional to 523,984.95, 722,861.82 and 309,024.72 is: 426,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,984.95 : 722,861.82 = 309,024.72 : x
  2. Step 2: Convert to fraction form
    523,984.95/722,861.82 = 309,024.72/x
  3. Step 3: Cross multiply
    523,984.95x = 722,861.82 × 309,024.72
  4. Step 4: Simplify right side
    523,984.95x = 223,382,171,524.19
  5. Step 5: Solve for x
    x = 223,382,171,524.19/523,984.95
  6. Step 6: Final answer
    x = 426,314.10

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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.