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Finding the Fourth Proportional to 377,523.74, 520,995 and 216,409.28

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Solution

The fourth proportional to 377,523.74, 520,995 and 216,409.28 is: 298,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,523.74 : 520,995 = 216,409.28 : x
  2. Step 2: Convert to fraction form
    377,523.74/520,995 = 216,409.28/x
  3. Step 3: Cross multiply
    377,523.74x = 520,995 × 216,409.28
  4. Step 4: Simplify right side
    377,523.74x = 112,748,152,833.60
  5. Step 5: Solve for x
    x = 112,748,152,833.60/377,523.74
  6. Step 6: Final answer
    x = 298,651.82

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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.