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Finding the Fourth Proportional to 622,380.60, 931,238.10 and 412,428.60

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Solution

The fourth proportional to 622,380.60, 931,238.10 and 412,428.60 is: 617,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,380.60 : 931,238.10 = 412,428.60 : x
  2. Step 2: Convert to fraction form
    622,380.60/931,238.10 = 412,428.60/x
  3. Step 3: Cross multiply
    622,380.60x = 931,238.10 × 412,428.60
  4. Step 4: Simplify right side
    622,380.60x = 384,069,225,849.66
  5. Step 5: Solve for x
    x = 384,069,225,849.66/622,380.60
  6. Step 6: Final answer
    x = 617,097.04

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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.