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Finding the Fourth Proportional to 520,424.56, 780,899.16 and 205,107.76

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Solution

The fourth proportional to 520,424.56, 780,899.16 and 205,107.76 is: 307,765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,424.56 : 780,899.16 = 205,107.76 : x
  2. Step 2: Convert to fraction form
    520,424.56/780,899.16 = 205,107.76/x
  3. Step 3: Cross multiply
    520,424.56x = 780,899.16 × 205,107.76
  4. Step 4: Simplify right side
    520,424.56x = 160,168,477,493.48
  5. Step 5: Solve for x
    x = 160,168,477,493.48/520,424.56
  6. Step 6: Final answer
    x = 307,765.02

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1.5x scale

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.