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Finding the Fourth Proportional to 217,788, 299,614.32 and 208,456.80

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Solution

The fourth proportional to 217,788, 299,614.32 and 208,456.80 is: 286,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,788 : 299,614.32 = 208,456.80 : x
  2. Step 2: Convert to fraction form
    217,788/299,614.32 = 208,456.80/x
  3. Step 3: Cross multiply
    217,788x = 299,614.32 × 208,456.80
  4. Step 4: Simplify right side
    217,788x = 62,456,642,381.38
  5. Step 5: Solve for x
    x = 62,456,642,381.38/217,788
  6. Step 6: Final answer
    x = 286,777.24

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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.