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Finding the Fourth Proportional to 231,432.66, 319,285.80 and 145,341

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Solution

The fourth proportional to 231,432.66, 319,285.80 and 145,341 is: 200,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,432.66 : 319,285.80 = 145,341 : x
  2. Step 2: Convert to fraction form
    231,432.66/319,285.80 = 145,341/x
  3. Step 3: Cross multiply
    231,432.66x = 319,285.80 × 145,341
  4. Step 4: Simplify right side
    231,432.66x = 46,405,317,457.80
  5. Step 5: Solve for x
    x = 46,405,317,457.80/231,432.66
  6. Step 6: Final answer
    x = 200,513.26

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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.