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Finding the Fourth Proportional to 646,342.34, 969,097.06 and 309,374.84

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Solution

The fourth proportional to 646,342.34, 969,097.06 and 309,374.84 is: 463,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,342.34 : 969,097.06 = 309,374.84 : x
  2. Step 2: Convert to fraction form
    646,342.34/969,097.06 = 309,374.84/x
  3. Step 3: Cross multiply
    646,342.34x = 969,097.06 × 309,374.84
  4. Step 4: Simplify right side
    646,342.34x = 299,814,250,691.43
  5. Step 5: Solve for x
    x = 299,814,250,691.43/646,342.34
  6. Step 6: Final answer
    x = 463,862.93

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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.