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Finding the Fourth Proportional to 520,852.16, 780,474.12 and 351,709.60

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Solution

The fourth proportional to 520,852.16, 780,474.12 and 351,709.60 is: 527,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,852.16 : 780,474.12 = 351,709.60 : x
  2. Step 2: Convert to fraction form
    520,852.16/780,474.12 = 351,709.60/x
  3. Step 3: Cross multiply
    520,852.16x = 780,474.12 × 351,709.60
  4. Step 4: Simplify right side
    520,852.16x = 274,500,240,555.55
  5. Step 5: Solve for x
    x = 274,500,240,555.55/520,852.16
  6. Step 6: Final answer
    x = 527,021.41

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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.