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Finding the Fourth Proportional to 272,277.95, 375,689.75 and 164,857.91

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Solution

The fourth proportional to 272,277.95, 375,689.75 and 164,857.91 is: 227,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,277.95 : 375,689.75 = 164,857.91 : x
  2. Step 2: Convert to fraction form
    272,277.95/375,689.75 = 164,857.91/x
  3. Step 3: Cross multiply
    272,277.95x = 375,689.75 × 164,857.91
  4. Step 4: Simplify right side
    272,277.95x = 61,935,424,290.68
  5. Step 5: Solve for x
    x = 61,935,424,290.68/272,277.95
  6. Step 6: Final answer
    x = 227,471.32

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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.