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Finding the Fourth Proportional to 356,939.68, 492,554.64 and 213,711.52

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Solution

The fourth proportional to 356,939.68, 492,554.64 and 213,711.52 is: 294,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,939.68 : 492,554.64 = 213,711.52 : x
  2. Step 2: Convert to fraction form
    356,939.68/492,554.64 = 213,711.52/x
  3. Step 3: Cross multiply
    356,939.68x = 492,554.64 × 213,711.52
  4. Step 4: Simplify right side
    356,939.68x = 105,264,600,797.45
  5. Step 5: Solve for x
    x = 105,264,600,797.45/356,939.68
  6. Step 6: Final answer
    x = 294,908.65

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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.