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Finding the Fourth Proportional to 310,009.14, 427,798.02 and 172,197

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Solution

The fourth proportional to 310,009.14, 427,798.02 and 172,197 is: 237,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,009.14 : 427,798.02 = 172,197 : x
  2. Step 2: Convert to fraction form
    310,009.14/427,798.02 = 172,197/x
  3. Step 3: Cross multiply
    310,009.14x = 427,798.02 × 172,197
  4. Step 4: Simplify right side
    310,009.14x = 73,665,535,649.94
  5. Step 5: Solve for x
    x = 73,665,535,649.94/310,009.14
  6. Step 6: Final answer
    x = 237,623.75

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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.