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Finding the Fourth Proportional to 307,970, 424,998.60 and 166,658

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Solution

The fourth proportional to 307,970, 424,998.60 and 166,658 is: 229,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,970 : 424,998.60 = 166,658 : x
  2. Step 2: Convert to fraction form
    307,970/424,998.60 = 166,658/x
  3. Step 3: Cross multiply
    307,970x = 424,998.60 × 166,658
  4. Step 4: Simplify right side
    307,970x = 70,829,416,678.80
  5. Step 5: Solve for x
    x = 70,829,416,678.80/307,970
  6. Step 6: Final answer
    x = 229,988.04

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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.