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Finding the Fourth Proportional to 497,826, 687,051.72 and 306,834.48

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Solution

The fourth proportional to 497,826, 687,051.72 and 306,834.48 is: 423,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,826 : 687,051.72 = 306,834.48 : x
  2. Step 2: Convert to fraction form
    497,826/687,051.72 = 306,834.48/x
  3. Step 3: Cross multiply
    497,826x = 687,051.72 × 306,834.48
  4. Step 4: Simplify right side
    497,826x = 210,811,157,239.31
  5. Step 5: Solve for x
    x = 210,811,157,239.31/497,826
  6. Step 6: Final answer
    x = 423,463.53

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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.