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Finding the Fourth Proportional to 385,404.30, 578,106.45 and 273,211.20

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Solution

The fourth proportional to 385,404.30, 578,106.45 and 273,211.20 is: 409,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,404.30 : 578,106.45 = 273,211.20 : x
  2. Step 2: Convert to fraction form
    385,404.30/578,106.45 = 273,211.20/x
  3. Step 3: Cross multiply
    385,404.30x = 578,106.45 × 273,211.20
  4. Step 4: Simplify right side
    385,404.30x = 157,945,156,932.24
  5. Step 5: Solve for x
    x = 157,945,156,932.24/385,404.30
  6. Step 6: Final answer
    x = 409,816.80

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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.