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Finding the Fourth Proportional to 646,407.15, 969,611.13 and 309,368.58

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Solution

The fourth proportional to 646,407.15, 969,611.13 and 309,368.58 is: 464,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,407.15 : 969,611.13 = 309,368.58 : x
  2. Step 2: Convert to fraction form
    646,407.15/969,611.13 = 309,368.58/x
  3. Step 3: Cross multiply
    646,407.15x = 969,611.13 × 309,368.58
  4. Step 4: Simplify right side
    646,407.15x = 299,967,218,440.30
  5. Step 5: Solve for x
    x = 299,967,218,440.30/646,407.15
  6. Step 6: Final answer
    x = 464,053.06

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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.