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Finding the Fourth Proportional to 272,921.31, 407,462.95 and 208,542.53

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Solution

The fourth proportional to 272,921.31, 407,462.95 and 208,542.53 is: 311,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,921.31 : 407,462.95 = 208,542.53 : x
  2. Step 2: Convert to fraction form
    272,921.31/407,462.95 = 208,542.53/x
  3. Step 3: Cross multiply
    272,921.31x = 407,462.95 × 208,542.53
  4. Step 4: Simplify right side
    272,921.31x = 84,973,353,431.55
  5. Step 5: Solve for x
    x = 84,973,353,431.55/272,921.31
  6. Step 6: Final answer
    x = 311,347.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.