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Finding the Fourth Proportional to 283,572.51, 391,357.65 and 211,827.98

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Solution

The fourth proportional to 283,572.51, 391,357.65 and 211,827.98 is: 292,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,572.51 : 391,357.65 = 211,827.98 : x
  2. Step 2: Convert to fraction form
    283,572.51/391,357.65 = 211,827.98/x
  3. Step 3: Cross multiply
    283,572.51x = 391,357.65 × 211,827.98
  4. Step 4: Simplify right side
    283,572.51x = 82,900,500,457.05
  5. Step 5: Solve for x
    x = 82,900,500,457.05/283,572.51
  6. Step 6: Final answer
    x = 292,343.22

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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.