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Finding the Fourth Proportional to 428,677.60, 642,885.07 and 296,407.84

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Solution

The fourth proportional to 428,677.60, 642,885.07 and 296,407.84 is: 444,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,677.60 : 642,885.07 = 296,407.84 : x
  2. Step 2: Convert to fraction form
    428,677.60/642,885.07 = 296,407.84/x
  3. Step 3: Cross multiply
    428,677.60x = 642,885.07 × 296,407.84
  4. Step 4: Simplify right side
    428,677.60x = 190,556,170,270.48
  5. Step 5: Solve for x
    x = 190,556,170,270.48/428,677.60
  6. Step 6: Final answer
    x = 444,520.95

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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.