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Finding the Fourth Proportional to 643,645.58, 964,290.96 and 301,460.72

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Solution

The fourth proportional to 643,645.58, 964,290.96 and 301,460.72 is: 451,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,645.58 : 964,290.96 = 301,460.72 : x
  2. Step 2: Convert to fraction form
    643,645.58/964,290.96 = 301,460.72/x
  3. Step 3: Cross multiply
    643,645.58x = 964,290.96 × 301,460.72
  4. Step 4: Simplify right side
    643,645.58x = 290,695,842,269.64
  5. Step 5: Solve for x
    x = 290,695,842,269.64/643,645.58
  6. Step 6: Final answer
    x = 451,639.62

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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.