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Finding the Fourth Proportional to 560,300.32, 840,606 and 311,157.28

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Solution

The fourth proportional to 560,300.32, 840,606 and 311,157.28 is: 466,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,300.32 : 840,606 = 311,157.28 : x
  2. Step 2: Convert to fraction form
    560,300.32/840,606 = 311,157.28/x
  3. Step 3: Cross multiply
    560,300.32x = 840,606 × 311,157.28
  4. Step 4: Simplify right side
    560,300.32x = 261,560,676,511.68
  5. Step 5: Solve for x
    x = 261,560,676,511.68/560,300.32
  6. Step 6: Final answer
    x = 466,822.29

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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.