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Finding the Fourth Proportional to 918,828, 1,267,982.64 and 516,420

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Solution

The fourth proportional to 918,828, 1,267,982.64 and 516,420 is: 712,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,828 : 1,267,982.64 = 516,420 : x
  2. Step 2: Convert to fraction form
    918,828/1,267,982.64 = 516,420/x
  3. Step 3: Cross multiply
    918,828x = 1,267,982.64 × 516,420
  4. Step 4: Simplify right side
    918,828x = 654,811,594,948.80
  5. Step 5: Solve for x
    x = 654,811,594,948.80/918,828
  6. Step 6: Final answer
    x = 712,659.60

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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.