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Finding the Fourth Proportional to 631,559.70, 947,403.32 and 205,077.69

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Solution

The fourth proportional to 631,559.70, 947,403.32 and 205,077.69 is: 307,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,559.70 : 947,403.32 = 205,077.69 : x
  2. Step 2: Convert to fraction form
    631,559.70/947,403.32 = 205,077.69/x
  3. Step 3: Cross multiply
    631,559.70x = 947,403.32 × 205,077.69
  4. Step 4: Simplify right side
    631,559.70x = 194,291,283,338.54
  5. Step 5: Solve for x
    x = 194,291,283,338.54/631,559.70
  6. Step 6: Final answer
    x = 307,637.24

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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.