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Finding the Fourth Proportional to 310,495.14, 428,407.38 and 189,592.38

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Solution

The fourth proportional to 310,495.14, 428,407.38 and 189,592.38 is: 261,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,495.14 : 428,407.38 = 189,592.38 : x
  2. Step 2: Convert to fraction form
    310,495.14/428,407.38 = 189,592.38/x
  3. Step 3: Cross multiply
    310,495.14x = 428,407.38 × 189,592.38
  4. Step 4: Simplify right side
    310,495.14x = 81,222,774,783.76
  5. Step 5: Solve for x
    x = 81,222,774,783.76/310,495.14
  6. Step 6: Final answer
    x = 261,591.13

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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.