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Finding the Fourth Proportional to 356,895.78, 492,557.32 and 213,655.80

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Solution

The fourth proportional to 356,895.78, 492,557.32 and 213,655.80 is: 294,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,895.78 : 492,557.32 = 213,655.80 : x
  2. Step 2: Convert to fraction form
    356,895.78/492,557.32 = 213,655.80/x
  3. Step 3: Cross multiply
    356,895.78x = 492,557.32 × 213,655.80
  4. Step 4: Simplify right side
    356,895.78x = 105,237,728,250.46
  5. Step 5: Solve for x
    x = 105,237,728,250.46/356,895.78
  6. Step 6: Final answer
    x = 294,869.63

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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.