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Finding the Fourth Proportional to 400,734.77, 553,014.11 and 219,457.97

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Solution

The fourth proportional to 400,734.77, 553,014.11 and 219,457.97 is: 302,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,734.77 : 553,014.11 = 219,457.97 : x
  2. Step 2: Convert to fraction form
    400,734.77/553,014.11 = 219,457.97/x
  3. Step 3: Cross multiply
    400,734.77x = 553,014.11 × 219,457.97
  4. Step 4: Simplify right side
    400,734.77x = 121,363,351,745.53
  5. Step 5: Solve for x
    x = 121,363,351,745.53/400,734.77
  6. Step 6: Final answer
    x = 302,852.07

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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.