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Finding the Fourth Proportional to 256,938.60, 385,235.10 and 137,015.40

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Solution

The fourth proportional to 256,938.60, 385,235.10 and 137,015.40 is: 205,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,938.60 : 385,235.10 = 137,015.40 : x
  2. Step 2: Convert to fraction form
    256,938.60/385,235.10 = 137,015.40/x
  3. Step 3: Cross multiply
    256,938.60x = 385,235.10 × 137,015.40
  4. Step 4: Simplify right side
    256,938.60x = 52,783,141,320.54
  5. Step 5: Solve for x
    x = 52,783,141,320.54/256,938.60
  6. Step 6: Final answer
    x = 205,430.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.