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Finding the Fourth Proportional to 377,423.46, 520,856.84 and 216,309.40

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Solution

The fourth proportional to 377,423.46, 520,856.84 and 216,309.40 is: 298,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,423.46 : 520,856.84 = 216,309.40 : x
  2. Step 2: Convert to fraction form
    377,423.46/520,856.84 = 216,309.40/x
  3. Step 3: Cross multiply
    377,423.46x = 520,856.84 × 216,309.40
  4. Step 4: Simplify right side
    377,423.46x = 112,666,229,784.93
  5. Step 5: Solve for x
    x = 112,666,229,784.93/377,423.46
  6. Step 6: Final answer
    x = 298,514.11

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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.