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Finding the Fourth Proportional to 401,431.80, 602,147.70 and 164,695.80

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Solution

The fourth proportional to 401,431.80, 602,147.70 and 164,695.80 is: 247,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,431.80 : 602,147.70 = 164,695.80 : x
  2. Step 2: Convert to fraction form
    401,431.80/602,147.70 = 164,695.80/x
  3. Step 3: Cross multiply
    401,431.80x = 602,147.70 × 164,695.80
  4. Step 4: Simplify right side
    401,431.80x = 99,171,197,169.66
  5. Step 5: Solve for x
    x = 99,171,197,169.66/401,431.80
  6. Step 6: Final answer
    x = 247,043.70

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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.