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Finding the Fourth Proportional to 385,084.80, 576,533.70 and 364,138.20

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Solution

The fourth proportional to 385,084.80, 576,533.70 and 364,138.20 is: 545,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,084.80 : 576,533.70 = 364,138.20 : x
  2. Step 2: Convert to fraction form
    385,084.80/576,533.70 = 364,138.20/x
  3. Step 3: Cross multiply
    385,084.80x = 576,533.70 × 364,138.20
  4. Step 4: Simplify right side
    385,084.80x = 209,937,943,757.34
  5. Step 5: Solve for x
    x = 209,937,943,757.34/385,084.80
  6. Step 6: Final answer
    x = 545,173.28

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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.