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Finding the Fourth Proportional to 310,045.74, 427,868.37 and 172,221

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Solution

The fourth proportional to 310,045.74, 427,868.37 and 172,221 is: 237,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,045.74 : 427,868.37 = 172,221 : x
  2. Step 2: Convert to fraction form
    310,045.74/427,868.37 = 172,221/x
  3. Step 3: Cross multiply
    310,045.74x = 427,868.37 × 172,221
  4. Step 4: Simplify right side
    310,045.74x = 73,687,918,549.77
  5. Step 5: Solve for x
    x = 73,687,918,549.77/310,045.74
  6. Step 6: Final answer
    x = 237,667.90

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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.