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Finding the Fourth Proportional to 217,789, 299,615.70 and 208,457.80

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Solution

The fourth proportional to 217,789, 299,615.70 and 208,457.80 is: 286,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,789 : 299,615.70 = 208,457.80 : x
  2. Step 2: Convert to fraction form
    217,789/299,615.70 = 208,457.80/x
  3. Step 3: Cross multiply
    217,789x = 299,615.70 × 208,457.80
  4. Step 4: Simplify right side
    217,789x = 62,457,229,667.46
  5. Step 5: Solve for x
    x = 62,457,229,667.46/217,789
  6. Step 6: Final answer
    x = 286,778.62

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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.