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Finding the Fourth Proportional to 356,940.68, 492,495.54 and 213,646.28

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Solution

The fourth proportional to 356,940.68, 492,495.54 and 213,646.28 is: 294,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,940.68 : 492,495.54 = 213,646.28 : x
  2. Step 2: Convert to fraction form
    356,940.68/492,495.54 = 213,646.28/x
  3. Step 3: Cross multiply
    356,940.68x = 492,495.54 × 213,646.28
  4. Step 4: Simplify right side
    356,940.68x = 105,219,840,037.59
  5. Step 5: Solve for x
    x = 105,219,840,037.59/356,940.68
  6. Step 6: Final answer
    x = 294,782.43

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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.