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Finding the Fourth Proportional to 647,084.30, 893,043.10 and 389,045.64

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Solution

The fourth proportional to 647,084.30, 893,043.10 and 389,045.64 is: 536,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,084.30 : 893,043.10 = 389,045.64 : x
  2. Step 2: Convert to fraction form
    647,084.30/893,043.10 = 389,045.64/x
  3. Step 3: Cross multiply
    647,084.30x = 893,043.10 × 389,045.64
  4. Step 4: Simplify right side
    647,084.30x = 347,434,524,387.08
  5. Step 5: Solve for x
    x = 347,434,524,387.08/647,084.30
  6. Step 6: Final answer
    x = 536,923.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.