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Finding the Fourth Proportional to 497,827, 687,053.10 and 306,835.48

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Solution

The fourth proportional to 497,827, 687,053.10 and 306,835.48 is: 423,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,827 : 687,053.10 = 306,835.48 : x
  2. Step 2: Convert to fraction form
    497,827/687,053.10 = 306,835.48/x
  3. Step 3: Cross multiply
    497,827x = 687,053.10 × 306,835.48
  4. Step 4: Simplify right side
    497,827x = 210,812,267,723.99
  5. Step 5: Solve for x
    x = 210,812,267,723.99/497,827
  6. Step 6: Final answer
    x = 423,464.91

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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.