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Finding the Fourth Proportional to 646,078.40, 969,451.14 and 309,050.80

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Solution

The fourth proportional to 646,078.40, 969,451.14 and 309,050.80 is: 463,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,078.40 : 969,451.14 = 309,050.80 : x
  2. Step 2: Convert to fraction form
    646,078.40/969,451.14 = 309,050.80/x
  3. Step 3: Cross multiply
    646,078.40x = 969,451.14 × 309,050.80
  4. Step 4: Simplify right side
    646,078.40x = 299,609,650,377.91
  5. Step 5: Solve for x
    x = 299,609,650,377.91/646,078.40
  6. Step 6: Final answer
    x = 463,735.75

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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.