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Finding the Fourth Proportional to 306,076, 422,384.88 and 171,940

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Solution

The fourth proportional to 306,076, 422,384.88 and 171,940 is: 237,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,076 : 422,384.88 = 171,940 : x
  2. Step 2: Convert to fraction form
    306,076/422,384.88 = 171,940/x
  3. Step 3: Cross multiply
    306,076x = 422,384.88 × 171,940
  4. Step 4: Simplify right side
    306,076x = 72,624,856,267.20
  5. Step 5: Solve for x
    x = 72,624,856,267.20/306,076
  6. Step 6: Final answer
    x = 237,277.20

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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.