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Finding the Fourth Proportional to 547,629.90, 820,561.65 and 310,266.70

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Solution

The fourth proportional to 547,629.90, 820,561.65 and 310,266.70 is: 464,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,629.90 : 820,561.65 = 310,266.70 : x
  2. Step 2: Convert to fraction form
    547,629.90/820,561.65 = 310,266.70/x
  3. Step 3: Cross multiply
    547,629.90x = 820,561.65 × 310,266.70
  4. Step 4: Simplify right side
    547,629.90x = 254,592,955,292.06
  5. Step 5: Solve for x
    x = 254,592,955,292.06/547,629.90
  6. Step 6: Final answer
    x = 464,899.66

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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.