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Finding the Fourth Proportional to 419,423.73, 578,769.17 and 235,647.90

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Solution

The fourth proportional to 419,423.73, 578,769.17 and 235,647.90 is: 325,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,423.73 : 578,769.17 = 235,647.90 : x
  2. Step 2: Convert to fraction form
    419,423.73/578,769.17 = 235,647.90/x
  3. Step 3: Cross multiply
    419,423.73x = 578,769.17 × 235,647.90
  4. Step 4: Simplify right side
    419,423.73x = 136,385,739,495.24
  5. Step 5: Solve for x
    x = 136,385,739,495.24/419,423.73
  6. Step 6: Final answer
    x = 325,174.11

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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.