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Finding the Fourth Proportional to 290,715.67, 401,167.65 and 163,410.40

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Solution

The fourth proportional to 290,715.67, 401,167.65 and 163,410.40 is: 225,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,715.67 : 401,167.65 = 163,410.40 : x
  2. Step 2: Convert to fraction form
    290,715.67/401,167.65 = 163,410.40/x
  3. Step 3: Cross multiply
    290,715.67x = 401,167.65 × 163,410.40
  4. Step 4: Simplify right side
    290,715.67x = 65,554,966,153.56
  5. Step 5: Solve for x
    x = 65,554,966,153.56/290,715.67
  6. Step 6: Final answer
    x = 225,495.12

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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.