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Finding the Fourth Proportional to 520,642.80, 780,769.80 and 362,401.20

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Solution

The fourth proportional to 520,642.80, 780,769.80 and 362,401.20 is: 543,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,642.80 : 780,769.80 = 362,401.20 : x
  2. Step 2: Convert to fraction form
    520,642.80/780,769.80 = 362,401.20/x
  3. Step 3: Cross multiply
    520,642.80x = 780,769.80 × 362,401.20
  4. Step 4: Simplify right side
    520,642.80x = 282,951,912,443.76
  5. Step 5: Solve for x
    x = 282,951,912,443.76/520,642.80
  6. Step 6: Final answer
    x = 543,466.48

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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.