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Finding the Fourth Proportional to 283,710.25, 391,547.72 and 211,965.71

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Solution

The fourth proportional to 283,710.25, 391,547.72 and 211,965.71 is: 292,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,710.25 : 391,547.72 = 211,965.71 : x
  2. Step 2: Convert to fraction form
    283,710.25/391,547.72 = 211,965.71/x
  3. Step 3: Cross multiply
    283,710.25x = 391,547.72 × 211,965.71
  4. Step 4: Simplify right side
    283,710.25x = 82,994,691,243.31
  5. Step 5: Solve for x
    x = 82,994,691,243.31/283,710.25
  6. Step 6: Final answer
    x = 292,533.29

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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.