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Finding the Fourth Proportional to 290,905.76, 435,658.80 and 165,867.68

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Solution

The fourth proportional to 290,905.76, 435,658.80 and 165,867.68 is: 248,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,905.76 : 435,658.80 = 165,867.68 : x
  2. Step 2: Convert to fraction form
    290,905.76/435,658.80 = 165,867.68/x
  3. Step 3: Cross multiply
    290,905.76x = 435,658.80 × 165,867.68
  4. Step 4: Simplify right side
    290,905.76x = 72,261,714,427.58
  5. Step 5: Solve for x
    x = 72,261,714,427.58/290,905.76
  6. Step 6: Final answer
    x = 248,402.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.