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Finding the Fourth Proportional to 647,428.55, 894,015.54 and 406,125.90

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Solution

The fourth proportional to 647,428.55, 894,015.54 and 406,125.90 is: 560,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,428.55 : 894,015.54 = 406,125.90 : x
  2. Step 2: Convert to fraction form
    647,428.55/894,015.54 = 406,125.90/x
  3. Step 3: Cross multiply
    647,428.55x = 894,015.54 × 406,125.90
  4. Step 4: Simplify right side
    647,428.55x = 363,082,865,796.49
  5. Step 5: Solve for x
    x = 363,082,865,796.49/647,428.55
  6. Step 6: Final answer
    x = 560,807.63

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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.