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Finding the Fourth Proportional to 415,646.76, 623,418.30 and 166,330.92

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Solution

The fourth proportional to 415,646.76, 623,418.30 and 166,330.92 is: 249,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,646.76 : 623,418.30 = 166,330.92 : x
  2. Step 2: Convert to fraction form
    415,646.76/623,418.30 = 166,330.92/x
  3. Step 3: Cross multiply
    415,646.76x = 623,418.30 × 166,330.92
  4. Step 4: Simplify right side
    415,646.76x = 103,693,739,383.84
  5. Step 5: Solve for x
    x = 103,693,739,383.84/415,646.76
  6. Step 6: Final answer
    x = 249,475.63

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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.