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Finding the Fourth Proportional to 419,663.60, 627,959.40 and 309,071.60

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Solution

The fourth proportional to 419,663.60, 627,959.40 and 309,071.60 is: 462,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,663.60 : 627,959.40 = 309,071.60 : x
  2. Step 2: Convert to fraction form
    419,663.60/627,959.40 = 309,071.60/x
  3. Step 3: Cross multiply
    419,663.60x = 627,959.40 × 309,071.60
  4. Step 4: Simplify right side
    419,663.60x = 194,084,416,493.04
  5. Step 5: Solve for x
    x = 194,084,416,493.04/419,663.60
  6. Step 6: Final answer
    x = 462,476.17

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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.