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Finding the Fourth Proportional to 502,467.84, 693,377.28 and 308,949.12

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Solution

The fourth proportional to 502,467.84, 693,377.28 and 308,949.12 is: 426,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,467.84 : 693,377.28 = 308,949.12 : x
  2. Step 2: Convert to fraction form
    502,467.84/693,377.28 = 308,949.12/x
  3. Step 3: Cross multiply
    502,467.84x = 693,377.28 × 308,949.12
  4. Step 4: Simplify right side
    502,467.84x = 214,218,300,483.99
  5. Step 5: Solve for x
    x = 214,218,300,483.99/502,467.84
  6. Step 6: Final answer
    x = 426,332.36

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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.