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Finding the Fourth Proportional to 631,556.01, 947,397.77 and 205,074

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Solution

The fourth proportional to 631,556.01, 947,397.77 and 205,074 is: 307,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,556.01 : 947,397.77 = 205,074 : x
  2. Step 2: Convert to fraction form
    631,556.01/947,397.77 = 205,074/x
  3. Step 3: Cross multiply
    631,556.01x = 947,397.77 × 205,074
  4. Step 4: Simplify right side
    631,556.01x = 194,286,650,284.98
  5. Step 5: Solve for x
    x = 194,286,650,284.98/631,556.01
  6. Step 6: Final answer
    x = 307,631.70

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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.