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Finding the Fourth Proportional to 356,895.96, 492,346.65 and 213,628.32

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Solution

The fourth proportional to 356,895.96, 492,346.65 and 213,628.32 is: 294,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,895.96 : 492,346.65 = 213,628.32 : x
  2. Step 2: Convert to fraction form
    356,895.96/492,346.65 = 213,628.32/x
  3. Step 3: Cross multiply
    356,895.96x = 492,346.65 × 213,628.32
  4. Step 4: Simplify right side
    356,895.96x = 105,179,188,498.23
  5. Step 5: Solve for x
    x = 105,179,188,498.23/356,895.96
  6. Step 6: Final answer
    x = 294,705.46

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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.