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Finding the Fourth Proportional to 331,494.74, 457,342.78 and 216,838.76

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Solution

The fourth proportional to 331,494.74, 457,342.78 and 216,838.76 is: 299,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,494.74 : 457,342.78 = 216,838.76 : x
  2. Step 2: Convert to fraction form
    331,494.74/457,342.78 = 216,838.76/x
  3. Step 3: Cross multiply
    331,494.74x = 457,342.78 × 216,838.76
  4. Step 4: Simplify right side
    331,494.74x = 99,169,640,225.96
  5. Step 5: Solve for x
    x = 99,169,640,225.96/331,494.74
  6. Step 6: Final answer
    x = 299,159.02

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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.