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Finding the Fourth Proportional to 290,814.40, 401,316.83 and 161,752.44

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Solution

The fourth proportional to 290,814.40, 401,316.83 and 161,752.44 is: 223,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,814.40 : 401,316.83 = 161,752.44 : x
  2. Step 2: Convert to fraction form
    290,814.40/401,316.83 = 161,752.44/x
  3. Step 3: Cross multiply
    290,814.40x = 401,316.83 × 161,752.44
  4. Step 4: Simplify right side
    290,814.40x = 64,913,977,768.31
  5. Step 5: Solve for x
    x = 64,913,977,768.31/290,814.40
  6. Step 6: Final answer
    x = 223,214.45

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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.