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Finding the Fourth Proportional to 420,153.74, 579,861.17 and 238,892.82

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Solution

The fourth proportional to 420,153.74, 579,861.17 and 238,892.82 is: 329,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,153.74 : 579,861.17 = 238,892.82 : x
  2. Step 2: Convert to fraction form
    420,153.74/579,861.17 = 238,892.82/x
  3. Step 3: Cross multiply
    420,153.74x = 579,861.17 × 238,892.82
  4. Step 4: Simplify right side
    420,153.74x = 138,524,670,109.80
  5. Step 5: Solve for x
    x = 138,524,670,109.80/420,153.74
  6. Step 6: Final answer
    x = 329,699.96

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1.5x scale

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.