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Finding the Fourth Proportional to 310,259.52, 428,146.80 and 189,602.76

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Solution

The fourth proportional to 310,259.52, 428,146.80 and 189,602.76 is: 261,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,259.52 : 428,146.80 = 189,602.76 : x
  2. Step 2: Convert to fraction form
    310,259.52/428,146.80 = 189,602.76/x
  3. Step 3: Cross multiply
    310,259.52x = 428,146.80 × 189,602.76
  4. Step 4: Simplify right side
    310,259.52x = 81,177,814,965.17
  5. Step 5: Solve for x
    x = 81,177,814,965.17/310,259.52
  6. Step 6: Final answer
    x = 261,644.88

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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.