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Finding the Fourth Proportional to 547,264.40, 820,896.60 and 509,939.60

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Solution

The fourth proportional to 547,264.40, 820,896.60 and 509,939.60 is: 764,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,264.40 : 820,896.60 = 509,939.60 : x
  2. Step 2: Convert to fraction form
    547,264.40/820,896.60 = 509,939.60/x
  3. Step 3: Cross multiply
    547,264.40x = 820,896.60 × 509,939.60
  4. Step 4: Simplify right side
    547,264.40x = 418,607,683,845.36
  5. Step 5: Solve for x
    x = 418,607,683,845.36/547,264.40
  6. Step 6: Final answer
    x = 764,909.40

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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.