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Finding the Fourth Proportional to 620,592, 856,416.96 and 337,968

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Solution

The fourth proportional to 620,592, 856,416.96 and 337,968 is: 466,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,592 : 856,416.96 = 337,968 : x
  2. Step 2: Convert to fraction form
    620,592/856,416.96 = 337,968/x
  3. Step 3: Cross multiply
    620,592x = 856,416.96 × 337,968
  4. Step 4: Simplify right side
    620,592x = 289,441,527,137.28
  5. Step 5: Solve for x
    x = 289,441,527,137.28/620,592
  6. Step 6: Final answer
    x = 466,395.84

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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.