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Finding the Fourth Proportional to 431,266.96, 646,878.30 and 165,007

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Solution

The fourth proportional to 431,266.96, 646,878.30 and 165,007 is: 247,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,266.96 : 646,878.30 = 165,007 : x
  2. Step 2: Convert to fraction form
    431,266.96/646,878.30 = 165,007/x
  3. Step 3: Cross multiply
    431,266.96x = 646,878.30 × 165,007
  4. Step 4: Simplify right side
    431,266.96x = 106,739,447,648.10
  5. Step 5: Solve for x
    x = 106,739,447,648.10/431,266.96
  6. Step 6: Final answer
    x = 247,502.03

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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.