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Finding the Fourth Proportional to 400,677.42, 552,934.72 and 219,389.30

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Solution

The fourth proportional to 400,677.42, 552,934.72 and 219,389.30 is: 302,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,677.42 : 552,934.72 = 219,389.30 : x
  2. Step 2: Convert to fraction form
    400,677.42/552,934.72 = 219,389.30/x
  3. Step 3: Cross multiply
    400,677.42x = 552,934.72 × 219,389.30
  4. Step 4: Simplify right side
    400,677.42x = 121,307,961,166.50
  5. Step 5: Solve for x
    x = 121,307,961,166.50/400,677.42
  6. Step 6: Final answer
    x = 302,757.17

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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.