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Finding the Fourth Proportional to 559,530, 772,151.76 and 304,881.12

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Solution

The fourth proportional to 559,530, 772,151.76 and 304,881.12 is: 420,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,530 : 772,151.76 = 304,881.12 : x
  2. Step 2: Convert to fraction form
    559,530/772,151.76 = 304,881.12/x
  3. Step 3: Cross multiply
    559,530x = 772,151.76 × 304,881.12
  4. Step 4: Simplify right side
    559,530x = 235,414,493,398.77
  5. Step 5: Solve for x
    x = 235,414,493,398.77/559,530
  6. Step 6: Final answer
    x = 420,736.14

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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.