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Finding the Fourth Proportional to 431,643.60, 646,428.60 and 412,981.20

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Solution

The fourth proportional to 431,643.60, 646,428.60 and 412,981.20 is: 618,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,643.60 : 646,428.60 = 412,981.20 : x
  2. Step 2: Convert to fraction form
    431,643.60/646,428.60 = 412,981.20/x
  3. Step 3: Cross multiply
    431,643.60x = 646,428.60 × 412,981.20
  4. Step 4: Simplify right side
    431,643.60x = 266,962,858,942.32
  5. Step 5: Solve for x
    x = 266,962,858,942.32/431,643.60
  6. Step 6: Final answer
    x = 618,479.83

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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.