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Finding the Fourth Proportional to 502,864.36, 693,952.82 and 276,509.86

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Solution

The fourth proportional to 502,864.36, 693,952.82 and 276,509.86 is: 381,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,864.36 : 693,952.82 = 276,509.86 : x
  2. Step 2: Convert to fraction form
    502,864.36/693,952.82 = 276,509.86/x
  3. Step 3: Cross multiply
    502,864.36x = 693,952.82 × 276,509.86
  4. Step 4: Simplify right side
    502,864.36x = 191,884,796,061.20
  5. Step 5: Solve for x
    x = 191,884,796,061.20/502,864.36
  6. Step 6: Final answer
    x = 381,583.61

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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.