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Finding the Fourth Proportional to 377,382.06, 520,861.68 and 216,345.24

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Solution

The fourth proportional to 377,382.06, 520,861.68 and 216,345.24 is: 298,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,382.06 : 520,861.68 = 216,345.24 : x
  2. Step 2: Convert to fraction form
    377,382.06/520,861.68 = 216,345.24/x
  3. Step 3: Cross multiply
    377,382.06x = 520,861.68 × 216,345.24
  4. Step 4: Simplify right side
    377,382.06x = 112,685,945,166.40
  5. Step 5: Solve for x
    x = 112,685,945,166.40/377,382.06
  6. Step 6: Final answer
    x = 298,599.10

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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.