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Finding the Fourth Proportional to 646,689.40, 969,611.64 and 309,719.08

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Solution

The fourth proportional to 646,689.40, 969,611.64 and 309,719.08 is: 464,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,689.40 : 969,611.64 = 309,719.08 : x
  2. Step 2: Convert to fraction form
    646,689.40/969,611.64 = 309,719.08/x
  3. Step 3: Cross multiply
    646,689.40x = 969,611.64 × 309,719.08
  4. Step 4: Simplify right side
    646,689.40x = 300,307,225,098.09
  5. Step 5: Solve for x
    x = 300,307,225,098.09/646,689.40
  6. Step 6: Final answer
    x = 464,376.29

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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.