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Finding the Fourth Proportional to 401,387.64, 602,114.31 and 201,605.28

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Solution

The fourth proportional to 401,387.64, 602,114.31 and 201,605.28 is: 302,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,387.64 : 602,114.31 = 201,605.28 : x
  2. Step 2: Convert to fraction form
    401,387.64/602,114.31 = 201,605.28/x
  3. Step 3: Cross multiply
    401,387.64x = 602,114.31 × 201,605.28
  4. Step 4: Simplify right side
    401,387.64x = 121,389,424,059.56
  5. Step 5: Solve for x
    x = 121,389,424,059.56/401,387.64
  6. Step 6: Final answer
    x = 302,424.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.