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Finding the Fourth Proportional to 310,971.96, 429,136.11 and 175,005.90

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Solution

The fourth proportional to 310,971.96, 429,136.11 and 175,005.90 is: 241,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,971.96 : 429,136.11 = 175,005.90 : x
  2. Step 2: Convert to fraction form
    310,971.96/429,136.11 = 175,005.90/x
  3. Step 3: Cross multiply
    310,971.96x = 429,136.11 × 175,005.90
  4. Step 4: Simplify right side
    310,971.96x = 75,101,351,153.05
  5. Step 5: Solve for x
    x = 75,101,351,153.05/310,971.96
  6. Step 6: Final answer
    x = 241,505.22

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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.