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Finding the Fourth Proportional to 647,294.64, 892,900.80 and 405,156.84

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Solution

The fourth proportional to 647,294.64, 892,900.80 and 405,156.84 is: 558,887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,294.64 : 892,900.80 = 405,156.84 : x
  2. Step 2: Convert to fraction form
    647,294.64/892,900.80 = 405,156.84/x
  3. Step 3: Cross multiply
    647,294.64x = 892,900.80 × 405,156.84
  4. Step 4: Simplify right side
    647,294.64x = 361,764,866,561.47
  5. Step 5: Solve for x
    x = 361,764,866,561.47/647,294.64
  6. Step 6: Final answer
    x = 558,887.47

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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.