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Finding the Fourth Proportional to 547,855.74, 820,306.89 and 357,845.58

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Solution

The fourth proportional to 547,855.74, 820,306.89 and 357,845.58 is: 535,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,855.74 : 820,306.89 = 357,845.58 : x
  2. Step 2: Convert to fraction form
    547,855.74/820,306.89 = 357,845.58/x
  3. Step 3: Cross multiply
    547,855.74x = 820,306.89 × 357,845.58
  4. Step 4: Simplify right side
    547,855.74x = 293,543,194,830.05
  5. Step 5: Solve for x
    x = 293,543,194,830.05/547,855.74
  6. Step 6: Final answer
    x = 535,803.81

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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.