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Finding the Fourth Proportional to 272,889.31, 409,407.82 and 154,643.69

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Solution

The fourth proportional to 272,889.31, 409,407.82 and 154,643.69 is: 232,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,889.31 : 409,407.82 = 154,643.69 : x
  2. Step 2: Convert to fraction form
    272,889.31/409,407.82 = 154,643.69/x
  3. Step 3: Cross multiply
    272,889.31x = 409,407.82 × 154,643.69
  4. Step 4: Simplify right side
    272,889.31x = 63,312,335,485.11
  5. Step 5: Solve for x
    x = 63,312,335,485.11/272,889.31
  6. Step 6: Final answer
    x = 232,007.38

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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.