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Finding the Fourth Proportional to 343,693.80, 515,103.30 and 306,077.40

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Solution

The fourth proportional to 343,693.80, 515,103.30 and 306,077.40 is: 458,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,693.80 : 515,103.30 = 306,077.40 : x
  2. Step 2: Convert to fraction form
    343,693.80/515,103.30 = 306,077.40/x
  3. Step 3: Cross multiply
    343,693.80x = 515,103.30 × 306,077.40
  4. Step 4: Simplify right side
    343,693.80x = 157,661,478,795.42
  5. Step 5: Solve for x
    x = 157,661,478,795.42/343,693.80
  6. Step 6: Final answer
    x = 458,726.57

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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.