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Finding the Fourth Proportional to 283,664.60, 391,347.42 and 162,762.20

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Solution

The fourth proportional to 283,664.60, 391,347.42 and 162,762.20 is: 224,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,664.60 : 391,347.42 = 162,762.20 : x
  2. Step 2: Convert to fraction form
    283,664.60/391,347.42 = 162,762.20/x
  3. Step 3: Cross multiply
    283,664.60x = 391,347.42 × 162,762.20
  4. Step 4: Simplify right side
    283,664.60x = 63,696,567,043.52
  5. Step 5: Solve for x
    x = 63,696,567,043.52/283,664.60
  6. Step 6: Final answer
    x = 224,548.88

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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.