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Finding the Fourth Proportional to 465,446.40, 642,620.16 and 357,817.92

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Solution

The fourth proportional to 465,446.40, 642,620.16 and 357,817.92 is: 494,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,446.40 : 642,620.16 = 357,817.92 : x
  2. Step 2: Convert to fraction form
    465,446.40/642,620.16 = 357,817.92/x
  3. Step 3: Cross multiply
    465,446.40x = 642,620.16 × 357,817.92
  4. Step 4: Simplify right side
    465,446.40x = 229,941,009,001.27
  5. Step 5: Solve for x
    x = 229,941,009,001.27/465,446.40
  6. Step 6: Final answer
    x = 494,022.53

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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.