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Finding the Fourth Proportional to 497,898.68, 687,162 and 304,266.56

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Solution

The fourth proportional to 497,898.68, 687,162 and 304,266.56 is: 419,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,898.68 : 687,162 = 304,266.56 : x
  2. Step 2: Convert to fraction form
    497,898.68/687,162 = 304,266.56/x
  3. Step 3: Cross multiply
    497,898.68x = 687,162 × 304,266.56
  4. Step 4: Simplify right side
    497,898.68x = 209,080,417,902.72
  5. Step 5: Solve for x
    x = 209,080,417,902.72/497,898.68
  6. Step 6: Final answer
    x = 419,925.63

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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.