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Finding the Fourth Proportional to 520,295.50, 780,738.50 and 204,973.84

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Solution

The fourth proportional to 520,295.50, 780,738.50 and 204,973.84 is: 307,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,295.50 : 780,738.50 = 204,973.84 : x
  2. Step 2: Convert to fraction form
    520,295.50/780,738.50 = 204,973.84/x
  3. Step 3: Cross multiply
    520,295.50x = 780,738.50 × 204,973.84
  4. Step 4: Simplify right side
    520,295.50x = 160,030,968,716.22
  5. Step 5: Solve for x
    x = 160,030,968,716.22/520,295.50
  6. Step 6: Final answer
    x = 307,577.08

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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.