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Finding the Fourth Proportional to 421,382.86, 581,508.34 and 230,396.25

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Solution

The fourth proportional to 421,382.86, 581,508.34 and 230,396.25 is: 317,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,382.86 : 581,508.34 = 230,396.25 : x
  2. Step 2: Convert to fraction form
    421,382.86/581,508.34 = 230,396.25/x
  3. Step 3: Cross multiply
    421,382.86x = 581,508.34 × 230,396.25
  4. Step 4: Simplify right side
    421,382.86x = 133,977,337,972.18
  5. Step 5: Solve for x
    x = 133,977,337,972.18/421,382.86
  6. Step 6: Final answer
    x = 317,946.82

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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.