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Finding the Fourth Proportional to 430,696.98, 646,071.66 and 131,199.48

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Solution

The fourth proportional to 430,696.98, 646,071.66 and 131,199.48 is: 196,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,696.98 : 646,071.66 = 131,199.48 : x
  2. Step 2: Convert to fraction form
    430,696.98/646,071.66 = 131,199.48/x
  3. Step 3: Cross multiply
    430,696.98x = 646,071.66 × 131,199.48
  4. Step 4: Simplify right side
    430,696.98x = 84,764,265,834.74
  5. Step 5: Solve for x
    x = 84,764,265,834.74/430,696.98
  6. Step 6: Final answer
    x = 196,807.20

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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.