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Finding the Fourth Proportional to 377,649.72, 521,141.13 and 216,392.58

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Solution

The fourth proportional to 377,649.72, 521,141.13 and 216,392.58 is: 298,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,649.72 : 521,141.13 = 216,392.58 : x
  2. Step 2: Convert to fraction form
    377,649.72/521,141.13 = 216,392.58/x
  3. Step 3: Cross multiply
    377,649.72x = 521,141.13 × 216,392.58
  4. Step 4: Simplify right side
    377,649.72x = 112,771,073,664.82
  5. Step 5: Solve for x
    x = 112,771,073,664.82/377,649.72
  6. Step 6: Final answer
    x = 298,612.89

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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.