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Finding the Fourth Proportional to 502,775.72, 693,833.10 and 276,435.80

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Solution

The fourth proportional to 502,775.72, 693,833.10 and 276,435.80 is: 381,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,775.72 : 693,833.10 = 276,435.80 : x
  2. Step 2: Convert to fraction form
    502,775.72/693,833.10 = 276,435.80/x
  3. Step 3: Cross multiply
    502,775.72x = 693,833.10 × 276,435.80
  4. Step 4: Simplify right side
    502,775.72x = 191,800,308,064.98
  5. Step 5: Solve for x
    x = 191,800,308,064.98/502,775.72
  6. Step 6: Final answer
    x = 381,482.84

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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.