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Finding the Fourth Proportional to 307,440, 424,267.20 and 166,128

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Solution

The fourth proportional to 307,440, 424,267.20 and 166,128 is: 229,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,440 : 424,267.20 = 166,128 : x
  2. Step 2: Convert to fraction form
    307,440/424,267.20 = 166,128/x
  3. Step 3: Cross multiply
    307,440x = 424,267.20 × 166,128
  4. Step 4: Simplify right side
    307,440x = 70,482,661,401.60
  5. Step 5: Solve for x
    x = 70,482,661,401.60/307,440
  6. Step 6: Final answer
    x = 229,256.64

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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.