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Finding the Fourth Proportional to 612,071.12, 844,678.65 and 340,150.47

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Solution

The fourth proportional to 612,071.12, 844,678.65 and 340,150.47 is: 469,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,071.12 : 844,678.65 = 340,150.47 : x
  2. Step 2: Convert to fraction form
    612,071.12/844,678.65 = 340,150.47/x
  3. Step 3: Cross multiply
    612,071.12x = 844,678.65 × 340,150.47
  4. Step 4: Simplify right side
    612,071.12x = 287,317,839,796.47
  5. Step 5: Solve for x
    x = 287,317,839,796.47/612,071.12
  6. Step 6: Final answer
    x = 469,419.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.