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Finding the Fourth Proportional to 400,491.64, 552,655.05 and 219,206.96

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Solution

The fourth proportional to 400,491.64, 552,655.05 and 219,206.96 is: 302,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,491.64 : 552,655.05 = 219,206.96 : x
  2. Step 2: Convert to fraction form
    400,491.64/552,655.05 = 219,206.96/x
  3. Step 3: Cross multiply
    400,491.64x = 552,655.05 × 219,206.96
  4. Step 4: Simplify right side
    400,491.64x = 121,145,833,159.34
  5. Step 5: Solve for x
    x = 121,145,833,159.34/400,491.64
  6. Step 6: Final answer
    x = 302,492.79

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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.