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Finding the Fourth Proportional to 310,800.64, 428,972.80 and 197,601.28

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Solution

The fourth proportional to 310,800.64, 428,972.80 and 197,601.28 is: 272,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,800.64 : 428,972.80 = 197,601.28 : x
  2. Step 2: Convert to fraction form
    310,800.64/428,972.80 = 197,601.28/x
  3. Step 3: Cross multiply
    310,800.64x = 428,972.80 × 197,601.28
  4. Step 4: Simplify right side
    310,800.64x = 84,765,574,365.18
  5. Step 5: Solve for x
    x = 84,765,574,365.18/310,800.64
  6. Step 6: Final answer
    x = 272,732.95

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1.5x scale

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.