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Finding the Fourth Proportional to 343,387.56, 515,223.06 and 185,430

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Solution

The fourth proportional to 343,387.56, 515,223.06 and 185,430 is: 278,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,387.56 : 515,223.06 = 185,430 : x
  2. Step 2: Convert to fraction form
    343,387.56/515,223.06 = 185,430/x
  3. Step 3: Cross multiply
    343,387.56x = 515,223.06 × 185,430
  4. Step 4: Simplify right side
    343,387.56x = 95,537,812,015.80
  5. Step 5: Solve for x
    x = 95,537,812,015.80/343,387.56
  6. Step 6: Final answer
    x = 278,221.53

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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.