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Finding the Fourth Proportional to 497,834, 687,062.76 and 306,842.48

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Solution

The fourth proportional to 497,834, 687,062.76 and 306,842.48 is: 423,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,834 : 687,062.76 = 306,842.48 : x
  2. Step 2: Convert to fraction form
    497,834/687,062.76 = 306,842.48/x
  3. Step 3: Cross multiply
    497,834x = 687,062.76 × 306,842.48
  4. Step 4: Simplify right side
    497,834x = 210,820,041,194.05
  5. Step 5: Solve for x
    x = 210,820,041,194.05/497,834
  6. Step 6: Final answer
    x = 423,474.57

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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.