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Finding the Fourth Proportional to 309,142.41, 463,109.92 and 213,062.44

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Solution

The fourth proportional to 309,142.41, 463,109.92 and 213,062.44 is: 319,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,142.41 : 463,109.92 = 213,062.44 : x
  2. Step 2: Convert to fraction form
    309,142.41/463,109.92 = 213,062.44/x
  3. Step 3: Cross multiply
    309,142.41x = 463,109.92 × 213,062.44
  4. Step 4: Simplify right side
    309,142.41x = 98,671,329,543.40
  5. Step 5: Solve for x
    x = 98,671,329,543.40/309,142.41
  6. Step 6: Final answer
    x = 319,177.59

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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.