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Finding the Fourth Proportional to 498,512.80, 747,769.20 and 465,051.70

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Solution

The fourth proportional to 498,512.80, 747,769.20 and 465,051.70 is: 697,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,512.80 : 747,769.20 = 465,051.70 : x
  2. Step 2: Convert to fraction form
    498,512.80/747,769.20 = 465,051.70/x
  3. Step 3: Cross multiply
    498,512.80x = 747,769.20 × 465,051.70
  4. Step 4: Simplify right side
    498,512.80x = 347,751,337,667.64
  5. Step 5: Solve for x
    x = 347,751,337,667.64/498,512.80
  6. Step 6: Final answer
    x = 697,577.55

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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.