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Finding the Fourth Proportional to 356,903.80, 492,568.41 and 213,663.76

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Solution

The fourth proportional to 356,903.80, 492,568.41 and 213,663.76 is: 294,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,903.80 : 492,568.41 = 213,663.76 : x
  2. Step 2: Convert to fraction form
    356,903.80/492,568.41 = 213,663.76/x
  3. Step 3: Cross multiply
    356,903.80x = 492,568.41 × 213,663.76
  4. Step 4: Simplify right side
    356,903.80x = 105,244,018,537.82
  5. Step 5: Solve for x
    x = 105,244,018,537.82/356,903.80
  6. Step 6: Final answer
    x = 294,880.63

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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.