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Finding the Fourth Proportional to 509,947.20, 764,920.80 and 210,328.20

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Solution

The fourth proportional to 509,947.20, 764,920.80 and 210,328.20 is: 315,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,947.20 : 764,920.80 = 210,328.20 : x
  2. Step 2: Convert to fraction form
    509,947.20/764,920.80 = 210,328.20/x
  3. Step 3: Cross multiply
    509,947.20x = 764,920.80 × 210,328.20
  4. Step 4: Simplify right side
    509,947.20x = 160,884,415,006.56
  5. Step 5: Solve for x
    x = 160,884,415,006.56/509,947.20
  6. Step 6: Final answer
    x = 315,492.30

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Similar ratio
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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.