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Finding the Fourth Proportional to 356,886.37, 492,457.80 and 203,934.48

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Solution

The fourth proportional to 356,886.37, 492,457.80 and 203,934.48 is: 281,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,886.37 : 492,457.80 = 203,934.48 : x
  2. Step 2: Convert to fraction form
    356,886.37/492,457.80 = 203,934.48/x
  3. Step 3: Cross multiply
    356,886.37x = 492,457.80 × 203,934.48
  4. Step 4: Simplify right side
    356,886.37x = 100,429,125,364.94
  5. Step 5: Solve for x
    x = 100,429,125,364.94/356,886.37
  6. Step 6: Final answer
    x = 281,403.64

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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.